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230685077495808 = 2133313312587979
BaseRepresentation
bin110100011100111010001110…
…000110010110000000000000
31010020210021111200111110101000
4310130322032012112000000
5220214021014314331213
62134343132301012000
766406306161444315
oct6434721606260000
91106707450443330
10230685077495808
1167559aa0331801
1221a58391854000
139b946813b3610
1440d73084a4d0c
151ba09acd17c73
hexd1ce8e196000

230685077495808 has 448 divisors, whose sum is σ = 759787864012800. Its totient is φ = 68690319114240.

The previous prime is 230685077495791. The next prime is 230685077495809. The reversal of 230685077495808 is 808594770586032.

230685077495808 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 8 + 50 + 7 + 7 + 495 + 80 + 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 not an unprimeable number, because it can be changed into a prime (230685077495809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87843163 + ... + 90431141.

It is an arithmetic number, because the mean of its divisors is an integer number (1695955053600).

Almost surely, 2230685077495808 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 230685077495808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379893932006400).

230685077495808 is an abundant number, since it is smaller than the sum of its proper divisors (529102786516992).

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

230685077495808 is a wasteful number, since it uses less digits than its factorization.

230685077495808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588058 (or 2588028 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 230685077495808 in words is "two hundred thirty trillion, six hundred eighty-five billion, seventy-seven million, four hundred ninety-five thousand, eight hundred eight".