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681254397155808 = 253371031093604557
BaseRepresentation
bin1001101011100110001110011…
…0010110000001100111100000
310022100010021200021022010202000
42122321203212112001213200
51203243133001132441213
610412523541033324000
7263332002020320530
oct23271434626014740
93270107607263660
10681254397155808
11188083404a24493
12644a77bb266600
13233190249a1aa8
14c032c62a554c0
1553b5ecc20cc73
hex26b98e65819e0

681254397155808 has 192 divisors, whose sum is σ = 2292895060485120. Its totient is φ = 192754364622336.

The previous prime is 681254397155767. The next prime is 681254397155821. The reversal of 681254397155808 is 808551793452186.

It is a happy number.

681254397155808 is a `hidden beast` number, since 6 + 8 + 1 + 2 + 5 + 4 + 39 + 7 + 1 + 5 + 580 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 31 ways as a sum of consecutive naturals, for example, 546179335 + ... + 547425222.

It is an arithmetic number, because the mean of its divisors is an integer number (11942161773360).

It is a 2-persistent number, because it is pandigital, and so is 2⋅681254397155808 = 1362508794311616, but 3⋅681254397155808 = 2043763191467424 is not.

Almost surely, 2681254397155808 is an apocalyptic number.

It is an amenable number.

681254397155808 is an abundant number, since it is smaller than the sum of its proper divisors (1611640663329312).

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

681254397155808 is a wasteful number, since it uses less digits than its factorization.

681254397155808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093604686 (or 1093604672 counting only the distinct ones).

The product of its (nonzero) digits is 580608000, while the sum is 72.

The spelling of 681254397155808 in words is "six hundred eighty-one trillion, two hundred fifty-four billion, three hundred ninety-seven million, one hundred fifty-five thousand, eight hundred eight".