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230976282483360 = 2532517371315919379
BaseRepresentation
bin110100100001001001011011…
…010001001101101010100000
31010021211010011021001120011100
4310201021123101031222200
5220233303411303431420
62135125012254314400
766436325413135161
oct6441113321155240
91107733137046140
10230976282483360
1167661544a16a77
1221aa49017b8a00
139bb5c7c07443b
144107451511768
151ba83532dc190
hexd2125b44daa0

230976282483360 has 576 divisors, whose sum is σ = 857237015980800. Its totient is φ = 56396550537216.

The previous prime is 230976282483341. The next prime is 230976282483371. The reversal of 230976282483360 is 63384282679032.

230976282483360 is a `hidden beast` number, since 2 + 3 + 0 + 9 + 7 + 6 + 28 + 248 + 3 + 360 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11918886151 + ... + 11918905529.

It is an arithmetic number, because the mean of its divisors is an integer number (1488258708300).

Almost surely, 2230976282483360 is an apocalyptic number.

230976282483360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230976282483360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428618507990400).

230976282483360 is an abundant number, since it is smaller than the sum of its proper divisors (626260733497440).

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

230976282483360 is a wasteful number, since it uses less digits than its factorization.

230976282483360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32613 (or 32602 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 230976282483360 in words is "two hundred thirty trillion, nine hundred seventy-six billion, two hundred eighty-two million, four hundred eighty-three thousand, three hundred sixty".