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115897502804864 = 27111737337577673
BaseRepresentation
bin11010010110100001111101…
…011111000010101110000000
3120012100200201020112100000212
4122112201331133002232000
5110142331041204223424
61050254324444133252
733261214106325164
oct3226417537025600
9505320636470025
10115897502804864
1133a23944989910
1210bb9867237228
134c8911a664c61
14208967d18cca4
15d5eb600db10e
hex69687d7c2b80

115897502804864 has 512 divisors, whose sum is σ = 275601745261440. Its totient is φ = 47943914618880.

The previous prime is 115897502804857. The next prime is 115897502804879. The reversal of 115897502804864 is 468408205798511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a junction number, because it is equal to n+sod(n) for n = 115897502804794 and 115897502804803.

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 63 ways as a sum of consecutive naturals, for example, 172210256432 + ... + 172210257104.

Almost surely, 2115897502804864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115897502804864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137800872630720).

115897502804864 is an abundant number, since it is smaller than the sum of its proper divisors (159704242456576).

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

115897502804864 is a wasteful number, since it uses less digits than its factorization.

115897502804864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 68.

The spelling of 115897502804864 in words is "one hundred fifteen trillion, eight hundred ninety-seven billion, five hundred two million, eight hundred four thousand, eight hundred sixty-four".