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12664699632 = 24321320813251
BaseRepresentation
bin10111100101101111…
…11111101011110000
31012200121212101211100
423302313333223300
5201414130342012
65452412244400
7625562112354
oct136267775360
935617771740
1012664699632
115409990312
122555470700
13126aa94510
14882007464
154e1cbd8dc
hex2f2dffaf0

12664699632 has 120 divisors (see below), whose sum is σ = 38200086288. Its totient is φ = 3893760000.

The previous prime is 12664699613. The next prime is 12664699643. The reversal of 12664699632 is 23699646621.

12664699632 is a `hidden beast` number, since 1 + 2 + 66 + 469 + 96 + 32 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3894007 + ... + 3897257.

Almost surely, 212664699632 is an apocalyptic number.

12664699632 is a gapful number since it is divisible by the number (12) 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 12664699632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19100043144).

12664699632 is an abundant number, since it is smaller than the sum of its proper divisors (25535386656).

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

12664699632 is a wasteful number, since it uses less digits than its factorization.

12664699632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5359 (or 5350 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The spelling of 12664699632 in words is "twelve billion, six hundred sixty-four million, six hundred ninety-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 2081 3251 4162 6243 6502 8324 9753 12486 13004 16648 18729 19506 24972 26008 27053 29259 33296 37458 39012 42263 49944 52016 54106 58518 74916 78024 81159 84526 99888 108212 117036 126789 149832 156048 162318 169052 216424 234072 243477 253578 299664 324636 338104 380367 432848 468144 486954 507156 649272 676208 760734 973908 1014312 1298544 1521468 1947816 2028624 3042936 3895632 6085872 6765331 13530662 20295993 27061324 40591986 54122648 60887979 81183972 87949303 108245296 121775958 162367944 175898606 243551916 263847909 324735888 351797212 487103832 527695818 703594424 791543727 974207664 1055391636 1407188848 1583087454 2110783272 3166174908 4221566544 6332349816 12664699632