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12642156644 = 22132941732801
BaseRepresentation
bin10111100011000100…
…00000000001100100
31012122001110002122212
423301202000001210
5201342343003034
65450245142552
7625166362355
oct136142000144
935561402585
1012642156644
1153a8193447
1225499baa58
131266200780
1487d019d2c
154ded192ce
hex2f1880064

12642156644 has 96 divisors (see below), whose sum is σ = 25603331040. Its totient is φ = 5419008000.

The previous prime is 12642156629. The next prime is 12642156677. The reversal of 12642156644 is 44665124621.

It can be written as a sum of positive squares in 16 ways, for example, as 6742380544 + 5899776100 = 82112^2 + 76810^2 .

It is a super-2 number, since 2×126421566442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4512044 + ... + 4514844.

It is an arithmetic number, because the mean of its divisors is an integer number (266701365).

Almost surely, 212642156644 is an apocalyptic number.

It is an amenable number.

12642156644 is an abundant number, since it is smaller than the sum of its proper divisors (12961174396).

12642156644 is a wasteful number, since it uses less digits than its factorization.

12642156644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2959 counting only the distinct ones).

The product of its digits is 276480, while the sum is 41.

The spelling of 12642156644 in words is "twelve billion, six hundred forty-two million, one hundred fifty-six thousand, six hundred forty-four".

Divisors: 1 2 4 13 26 29 41 52 58 73 82 116 146 164 292 377 533 754 949 1066 1189 1508 1898 2117 2132 2378 2801 2993 3796 4234 4756 5602 5986 8468 11204 11972 15457 27521 30914 36413 38909 55042 61828 72826 77818 81229 86797 110084 114841 145652 155636 162458 173594 204473 229682 324916 347188 408946 459364 817892 1055977 1128361 1492933 2111954 2256722 2658149 2985866 3330389 4223908 4513444 5316298 5929717 5971732 6660778 8383393 10632596 11859434 13321556 16766786 23718868 33533572 43295057 77086321 86590114 108984109 154172642 173180228 217968218 243118397 308345284 435936436 486236794 972473588 3160539161 6321078322 12642156644