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10324604664 = 23321123355949
BaseRepresentation
bin10011001110110010…
…01111011011111000
3222122112120021000100
421213121033123320
5132121044322124
64424300035400
7513565456143
oct114731173370
928575507010
1010324604664
114418a74330
122001832b60
13c8702153a
146dd2dd05a
1540662c1c9
hex26764f6f8

10324604664 has 96 divisors (see below), whose sum is σ = 30635982000. Its totient is φ = 3115184640.

The previous prime is 10324604581. The next prime is 10324604683. The reversal of 10324604664 is 46640642301.

10324604664 is a `hidden beast` number, since 10 + 32 + 4 + 604 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×103246046642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156562 + ... + 212510.

Almost surely, 210324604664 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 10324604664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15317991000).

10324604664 is an abundant number, since it is smaller than the sum of its proper divisors (20311377336).

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

10324604664 is a wasteful number, since it uses less digits than its factorization.

10324604664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56205 (or 56198 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 10324604664 in words is "ten billion, three hundred twenty-four million, six hundred four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 233 264 396 466 699 792 932 1398 1864 2097 2563 2796 4194 5126 5592 7689 8388 10252 15378 16776 20504 23067 30756 46134 55949 61512 92268 111898 167847 184536 223796 335694 447592 503541 615439 671388 1007082 1230878 1342776 1846317 2014164 2461756 3692634 4028328 4923512 5538951 7385268 11077902 13036117 14770536 22155804 26072234 39108351 44311608 52144468 78216702 104288936 117325053 143397287 156433404 234650106 286794574 312866808 430191861 469300212 573589148 860383722 938600424 1147178296 1290575583 1720767444 2581151166 3441534888 5162302332 10324604664