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81260162164008 = 2334236549530129
BaseRepresentation
bin10010011110011111011011…
…000110011010010100101000
3101122201101200102021201120000
4102132133123012122110220
541122331303003222013
6444454223025103000
723054565366562422
oct2236373306322450
9348641612251500
1081260162164008
112398a272103533
12914491ba87a60
133645a53674829
14160d027305812
1595db6b20a973
hex49e7db19a528

81260162164008 has 80 divisors (see below), whose sum is σ = 227605086472500. Its totient is φ = 27086555119104.

The previous prime is 81260162163997. The next prime is 81260162164121. The reversal of 81260162164008 is 80046126106218.

It is a happy number.

81260162164008 is a `hidden beast` number, since 8 + 1 + 26 + 0 + 1 + 6 + 216 + 400 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55625970391524 + 25634191772484 = 7458282^2 + 5063022^2 .

It is a super-3 number, since 3×812601621640083 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 153018688 + ... + 153548816.

Almost surely, 281260162164008 is an apocalyptic number.

It is an amenable number.

81260162164008 is an abundant number, since it is smaller than the sum of its proper divisors (146344924308492).

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

81260162164008 is a wasteful number, since it uses less digits than its factorization.

81260162164008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766696 (or 766683 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 81260162164008 in words is "eighty-one trillion, two hundred sixty billion, one hundred sixty-two million, one hundred sixty-four thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 236549 473098 530129 709647 946196 1060258 1419294 1590387 1892392 2120516 2128941 2838588 3180774 4241032 4257882 4771161 5677176 6361548 6386823 8515764 9542322 12723096 12773646 14313483 17031528 19084644 19160469 25547292 28626966 38169288 38320938 42940449 51094584 57253932 76641876 85880898 114507864 153283752 171761796 343523592 125401484821 250802969642 376204454463 501605939284 752408908926 1003211878568 1128613363389 1504817817852 2257226726778 3009635635704 3385840090167 4514453453556 6771680180334 9028906907112 10157520270501 13543360360668 20315040541002 27086720721336 40630081082004 81260162164008