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30332099968 = 27895095231
BaseRepresentation
bin11100001111111011…
…110001110110000000
32220021220012022212221
4130033323301312000
5444110004144333
621533454100424
72122441411222
oct341773616600
986256168787
1030332099968
1111955752715
125a661aa714
132b25121961
14167a5b6412
15bc7d78d2d
hex70fef1d80

30332099968 has 64 divisors (see below), whose sum is σ = 61237944000. Its totient is φ = 14963322880.

The previous prime is 30332099957. The next prime is 30332099981. The reversal of 30332099968 is 86999023303.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5795913 + ... + 5801143.

It is an arithmetic number, because the mean of its divisors is an integer number (956842875).

Almost surely, 230332099968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30332099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30618972000).

30332099968 is an abundant number, since it is smaller than the sum of its proper divisors (30905844032).

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

30332099968 is an equidigital number, since it uses as much as digits as its factorization.

30332099968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5843 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 52.

The spelling of 30332099968 in words is "thirty billion, three hundred thirty-two million, ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 89 128 178 356 509 712 1018 1424 2036 2848 4072 5231 5696 8144 10462 11392 16288 20924 32576 41848 45301 65152 83696 90602 167392 181204 334784 362408 465559 669568 724816 931118 1449632 1862236 2662579 2899264 3724472 5325158 5798528 7448944 10650316 14897888 21300632 29795776 42601264 59591552 85202528 170405056 236969531 340810112 473939062 947878124 1895756248 3791512496 7583024992 15166049984 30332099968