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232316906260320 = 25325729436124967
BaseRepresentation
bin110100110100101001111110…
…101011000100011101100000
31010110120021112122012201000100
4310310221332223010131200
5220422240011000312240
62142032525142422400
766635225336206230
oct6464517653043540
91113507478181010
10232316906260320
1168029057105052
12220806a5a31a00
139c8250c52330b
1441522ac03dcc0
151bcd168861e30
hexd34a7eac4760

232316906260320 has 1728 divisors, whose sum is σ = 975252335016960. Its totient is φ = 49246752522240.

The previous prime is 232316906260273. The next prime is 232316906260339. The reversal of 232316906260320 is 23062609613232.

232316906260320 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 1 + 69 + 0 + 6 + 260 + 320 = 666.

232316906260320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2323169062603202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 46772074477 + ... + 46772079443.

It is an arithmetic number, because the mean of its divisors is an integer number (564382138320).

Almost surely, 2232316906260320 is an apocalyptic number.

232316906260320 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 232316906260320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487626167508480).

232316906260320 is an abundant number, since it is smaller than the sum of its proper divisors (742935428756640).

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

232316906260320 is a wasteful number, since it uses less digits than its factorization.

232316906260320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5189 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 232316906260320 in words is "two hundred thirty-two trillion, three hundred sixteen billion, nine hundred six million, two hundred sixty thousand, three hundred twenty".