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232004074745064 = 233192361733494731
BaseRepresentation
bin110100110000000110101000…
…011101100010110011101000
31010102110101001212112011102110
4310300012220131202303220
5220402123321113320224
62141233111153402320
766603512152204236
oct6460065035426350
91112411055464373
10232004074745064
1167a18414950496
122202bb3b2693a0
139c5bb761c443b
1441410b2aad956
151bc4e59932929
hexd301a8762ce8

232004074745064 has 256 divisors, whose sum is σ = 648410799052800. Its totient is φ = 68836019788800.

The previous prime is 232004074745057. The next prime is 232004074745167. The reversal of 232004074745064 is 460547470400232.

It is a super-3 number, since 3×2320040747450643 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468702579 + ... + 469197309.

It is an arithmetic number, because the mean of its divisors is an integer number (2532854683800).

Almost surely, 2232004074745064 is an apocalyptic number.

232004074745064 is a gapful number since it is divisible by the number (24) 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 232004074745064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324205399526400).

232004074745064 is an abundant number, since it is smaller than the sum of its proper divisors (416406724307736).

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

232004074745064 is a wasteful number, since it uses less digits than its factorization.

232004074745064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495576 (or 495572 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 48.

The spelling of 232004074745064 in words is "two hundred thirty-two trillion, four billion, seventy-four million, seven hundred forty-five thousand, sixty-four".