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231863528064 = 27372112310973
BaseRepresentation
bin1101011111110000100…
…1001010101010000000
3211011110222010121210110
43113330021022222000
512244324030344224
6254303332031320
722515536320200
oct3277411125200
9734428117713
10231863528064
118a372a0a473
1238b2a762540
1318b317b80ac
14b317c1c400
1560709a4929
hex35fc24aa80

231863528064 has 192 divisors, whose sum is σ = 717143876640. Its totient is φ = 66181699584.

The previous prime is 231863528063. The next prime is 231863528081. The reversal of 231863528064 is 460825368132.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (231863528063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21124882 + ... + 21135854.

Almost surely, 2231863528064 is an apocalyptic number.

231863528064 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 231863528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358571938320).

231863528064 is an abundant number, since it is smaller than the sum of its proper divisors (485280348576).

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

231863528064 is a wasteful number, since it uses less digits than its factorization.

231863528064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12127 (or 12108 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 231863528064 in words is "two hundred thirty-one billion, eight hundred sixty-three million, five hundred twenty-eight thousand, sixty-four".