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81697338440964 = 223215064432
BaseRepresentation
bin10010100100110110100100…
…110101100011110100000100
3101201021012002222120122020100
4102210312210311203310010
541202012122120102324
6445431123354004100
723131303130612511
oct2244664465436404
9351235088518210
1081697338440964
1124038712782a64
1291b55a9416630
13367804505028c
14162625aa38308
1596a2067674c9
hex4a4da4d63d04

81697338440964 has 27 divisors (see below), whose sum is σ = 206512853701063. Its totient is φ = 27232428069672.

The previous prime is 81697338440959. The next prime is 81697338440981. The reversal of 81697338440964 is 46904483379618.

It is a happy number.

The square root of 81697338440964 is 9038658.

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

81697338440964 is a `hidden beast` number, since 8 + 1 + 6 + 97 + 3 + 3 + 8 + 440 + 96 + 4 = 666.

It is a super-2 number, since 2×816973384409642 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 81697338440892 and 81697338440901.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53478727 + ... + 54985169.

Almost surely, 281697338440964 is an apocalyptic number.

81697338440964 is the 9038658-th square number.

It is an amenable number.

81697338440964 is an abundant number, since it is smaller than the sum of its proper divisors (124815515260099).

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

81697338440964 is an frugal number, since it uses more digits than its factorization.

81697338440964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012896 (or 1506448 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 81697338440964 in words is "eighty-one trillion, six hundred ninety-seven billion, three hundred thirty-eight million, four hundred forty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1506443 3012886 4519329 6025772 9038658 13557987 18077316 27115974 54231948 2269370512249 4538741024498 6808111536747 9077482048996 13616223073494 20424334610241 27232446146988 40848669220482 81697338440964