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30357396864 = 27338783969
BaseRepresentation
bin11100010001011100…
…010001110110000000
32220100122210112201000
4130101130101312000
5444132443144424
621540200212000
72123166421134
oct342134216600
986318715630
1030357396864
1111968a60643
125a7276a000
132b2a43b032
14167dabd3c4
15bca1c43c9
hex711711d80

30357396864 has 64 divisors (see below), whose sum is σ = 89596494000. Its totient is φ = 10119131136.

The previous prime is 30357396863. The next prime is 30357396899. The reversal of 30357396864 is 46869375303.

30357396864 is a `hidden beast` number, since 3 + 0 + 3 + 573 + 9 + 6 + 8 + 64 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 30357396864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30357396863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4388529 + ... + 4395440.

Almost surely, 230357396864 is an apocalyptic number.

It is an amenable number.

30357396864 is an abundant number, since it is smaller than the sum of its proper divisors (59239097136).

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

30357396864 is an equidigital number, since it uses as much as digits as its factorization.

30357396864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8783992 (or 8783974 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 30357396864 in words is "thirty billion, three hundred fifty-seven million, three hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 8783969 17567938 26351907 35135876 52703814 70271752 79055721 105407628 140543504 158111442 210815256 237167163 281087008 316222884 421630512 474334326 562174016 632445768 843261024 948668652 1124348032 1264891536 1686522048 1897337304 2529783072 3373044096 3794674608 5059566144 7589349216 10119132288 15178698432 30357396864