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30444575904 = 2532764313831
BaseRepresentation
bin11100010110101000…
…110101110010100000
32220120201211200212100
4130112220311302200
5444322302412104
621552552530400
72125305424341
oct342650656240
986521750770
1030444575904
1111a03195536
125a979b0a00
132b42512c72
14168b4d40c8
15bd2b95139
hex716a35ca0

30444575904 has 72 divisors (see below), whose sum is σ = 86594350752. Its totient is φ = 10146130560.

The previous prime is 30444575891. The next prime is 30444575911. The reversal of 30444575904 is 40957544403.

30444575904 is a `hidden beast` number, since 3 + 0 + 4 + 4 + 4 + 57 + 590 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 30444575904.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2194269 + ... + 2208099.

It is an arithmetic number, because the mean of its divisors is an integer number (1202699316).

Almost surely, 230444575904 is an apocalyptic number.

It is an amenable number.

30444575904 is an abundant number, since it is smaller than the sum of its proper divisors (56149774848).

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

30444575904 is a wasteful number, since it uses less digits than its factorization.

30444575904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21490 (or 21479 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 30444575904 in words is "thirty billion, four hundred forty-four million, five hundred seventy-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7643 13831 15286 22929 27662 30572 41493 45858 55324 61144 68787 82986 91716 110648 122288 124479 137574 165972 183432 221296 244576 248958 275148 331944 366864 442592 497916 550296 663888 733728 995832 1100592 1327776 1991664 2201184 3983328 105710333 211420666 317130999 422841332 634261998 845682664 951392997 1268523996 1691365328 1902785994 2537047992 3382730656 3805571988 5074095984 7611143976 10148191968 15222287952 30444575904