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64425244252446 = 23371167231258011
BaseRepresentation
bin11101010011000001010111…
…10011000101100100011110
322110002222211001011111002000
432221200223303011210132
531421020400012034241
6345004314300343130
716366366416440310
oct1651405363054436
9273088731144060
1064425244252446
11195896578aa620
127286063b44aa6
1329c4374ccb02c
1411ca2ac8037b0
1576acad7c4eb6
hex3a982bcc591e

64425244252446 has 128 divisors (see below), whose sum is σ = 181158276280320. Its totient is φ = 16484070952800.

The previous prime is 64425244252433. The next prime is 64425244252451.

64425244252446 is a `hidden beast` number, since 64 + 4 + 2 + 52 + 4 + 4 + 2 + 524 + 4 + 6 = 666.

64425244252446 is nontrivially palindromic in base 10.

64425244252446 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×644252442524462 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 64425244252392 and 64425244252401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115350420 + ... + 115907591.

It is an arithmetic number, because the mean of its divisors is an integer number (1415299033440).

Almost surely, 264425244252446 is an apocalyptic number.

64425244252446 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

64425244252446 is an abundant number, since it is smaller than the sum of its proper divisors (116733032027874).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64425244252446 is a wasteful number, since it uses less digits than its factorization.

64425244252446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231258107 (or 231258101 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 54.

The spelling of 64425244252446 in words is "sixty-four trillion, four hundred twenty-five billion, two hundred forty-four million, two hundred fifty-two thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 67 77 99 126 134 154 189 198 201 231 297 378 402 462 469 594 603 693 737 938 1206 1386 1407 1474 1809 2079 2211 2814 3618 4158 4221 4422 5159 6633 8442 10318 12663 13266 15477 19899 25326 30954 39798 46431 92862 139293 278586 231258011 462516022 693774033 1387548066 1618806077 2081322099 2543838121 3237612154 4162644198 4856418231 5087676242 6243966297 7631514363 9712836462 12487932594 14569254693 15263028726 15494286737 17806866847 22894543089 29138509386 30988573474 35613733694 43707764079 45789086178 46482860211 53420600541 68683629267 87415528158 92965720422 106841201082 108460007159 137367258534 139448580633 160261801623 170437154107 216920014318 278897161266 320523603246 325380021477 340874308214 418345741899 480785404869 511311462321 650760042954 836691483798 961570809738 976140064431 1022622924642 1193060078749 1533934386963 1952280128862 2386120157498 2928420193293 3067868773926 3579180236247 4601803160889 5856840386586 7158360472494 9203606321778 10737540708741 21475081417482 32212622126223 64425244252446