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10704267536 = 243741532157
BaseRepresentation
bin10011111100000011…
…00010100100010000
31000121222222010120012
421332001202210100
5133410243030121
64530101334052
7526155526034
oct117601424420
930558863505
1010704267536
1145a33096a6
1220a8a07328
131017892121
147378cc1c4
15429b24c5b
hex27e062910

10704267536 has 120 divisors (see below), whose sum is σ = 22380666504. Its totient is φ = 4952862720.

The previous prime is 10704267533. The next prime is 10704267571. The reversal of 10704267536 is 63576240701.

It can be written as a sum of positive squares in 12 ways, for example, as 1091641600 + 9612625936 = 33040^2 + 98044^2 .

It is a super-2 number, since 2×107042675362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 10704267493 and 10704267502.

It is not an unprimeable number, because it can be changed into a prime (10704267533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68179970 + ... + 68180126.

Almost surely, 210704267536 is an apocalyptic number.

10704267536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10704267536 is an abundant number, since it is smaller than the sum of its proper divisors (11676398968).

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

10704267536 is a wasteful number, since it uses less digits than its factorization.

10704267536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 41.

The spelling of 10704267536 in words is "ten billion, seven hundred four million, two hundred sixty-seven thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 37 41 53 74 82 106 148 157 164 212 296 314 328 424 592 628 656 848 1256 1517 1961 2173 2512 2809 3034 3922 4346 5618 5809 6068 6437 7844 8321 8692 11236 11618 12136 12874 15688 16642 17384 22472 23236 24272 25748 31376 33284 34768 44944 46472 51496 66568 80401 92944 102992 103933 115169 133136 160802 207866 230338 238169 307877 321604 341161 415732 441013 460676 476338 615754 643208 682322 831464 882026 921352 952676 1231508 1286416 1364644 1662928 1764052 1842704 1905352 2463016 2729288 3528104 3810704 4261253 4926032 5458576 7056208 8522506 12622957 16317481 17045012 18081533 25245914 32634962 34090024 36163066 50491828 65269924 68180048 72326132 100983656 130539848 144652264 201967312 261079696 289304528 669016721 1338033442 2676066884 5352133768 10704267536