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232042574064 = 243721923613701
BaseRepresentation
bin1101100000011011010…
…0001011000011110000
3211011221110001002201210
43120012310023003300
512300210344332224
6254333205400120
722523142223200
oct3300664130360
9734843032653
10232042574064
118a454a90374
1238b7a709040
1318b5c916982
14b333908400
156081570429
hex3606d0b0f0

232042574064 has 480 divisors, whose sum is σ = 778692303360. Its totient is φ = 59076864000.

The previous prime is 232042574047. The next prime is 232042574123. The reversal of 232042574064 is 460475240232.

It is a congruent number.

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, 62695414 + ... + 62699114.

It is an arithmetic number, because the mean of its divisors is an integer number (1622275632).

Almost surely, 2232042574064 is an apocalyptic number.

232042574064 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 232042574064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389346151680).

232042574064 is an abundant number, since it is smaller than the sum of its proper divisors (546649729296).

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

232042574064 is a wasteful number, since it uses less digits than its factorization.

232042574064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3829 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 39.

The spelling of 232042574064 in words is "two hundred thirty-two billion, forty-two million, five hundred seventy-four thousand, sixty-four".