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231066966000640 = 21057211320326141
BaseRepresentation
bin110100100010011101111000…
…011011011000010000000000
31010022010210020011002112201111
4310202131320123120100000
5220241300121244010030
62135234410533013104
766446015552253400
oct6442357033302000
91108123204075644
10231066966000640
1167696a4a449780
1221aba3ab484194
139bc16a16845c3
14410b9b50d6800
151baa8ae68262a
hexd227786d8400

231066966000640 has 528 divisors, whose sum is σ = 703649709163584. Its totient is φ = 71995632844800.

The previous prime is 231066966000613. The next prime is 231066966000713. The reversal of 231066966000640 is 46000669660132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8839241970 + ... + 8839268110.

Almost surely, 2231066966000640 is an apocalyptic number.

231066966000640 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 231066966000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351824854581792).

231066966000640 is an abundant number, since it is smaller than the sum of its proper divisors (472582743162944).

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

231066966000640 is a wasteful number, since it uses less digits than its factorization.

231066966000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29394 (or 29369 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 49.

The spelling of 231066966000640 in words is "two hundred thirty-one trillion, sixty-six billion, nine hundred sixty-six million, six hundred forty", and thus it is an aban number.