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81764543025 = 325211217332
BaseRepresentation
bin100110000100110001…
…0111110101000110001
321211001022102010222100
41030021202332220301
52314423210334100
6101321225531013
75623126101624
oct1141142765061
9254038363870
1081764543025
1131748a53400
1213a1a943a69
13793088c109
143d59261dbb
1521d8371400
hex13098bea31

81764543025 has 81 divisors (see below), whose sum is σ = 161066227777. Its totient is φ = 39620539200.

The previous prime is 81764542991. The next prime is 81764543053. The reversal of 81764543025 is 52034546718.

The square root of 81764543025 is 285945.

It is a perfect power (a square), and thus also a powerful number.

81764543025 is a `hidden beast` number, since 8 + 176 + 45 + 430 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3158327601 + 78606215424 = 56199^2 + 280368^2 .

It is a de Polignac number, because none of the positive numbers 2k-81764543025 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 47180059 + ... + 47181791.

Almost surely, 281764543025 is an apocalyptic number.

81764543025 is the 285945-th square number.

81764543025 is the 142973-rd centered octagonal number.

It is an amenable number.

81764543025 is a deficient number, since it is larger than the sum of its proper divisors (79301684752).

81764543025 is a wasteful number, since it uses less digits than its factorization.

81764543025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 81764543025 in words is "eighty-one billion, seven hundred sixty-four million, five hundred forty-three thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 495 605 825 1089 1733 1815 2475 3025 5199 5445 8665 9075 15597 19063 25995 27225 43325 57189 77985 95315 129975 171567 209693 285945 389925 476575 629079 857835 1048465 1429725 1887237 3003289 3145395 4289175 5242325 9009867 9436185 15016445 15726975 27029601 33036179 45049335 47180925 75082225 99108537 135148005 165180895 225246675 297325611 363397969 495542685 675740025 825904475 1090193907 1486628055 1816989845 2477713425 3270581721 5450969535 7433140275 9084949225 16352908605 27254847675 81764543025