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12930162939954 = 236133718437473
BaseRepresentation
bin1011110000101000100111…
…0001001101100000110010
31200210010000021202022000000
42330022021301031200302
53143321433203034304
643300011310010430
72503113330364341
oct274121161154062
950703007668000
1012930162939954
114135718988947
121549b514a6a16
1372a403220750
14329b74d05b58
1517652350e939
hexbc289c4d832

12930162939954 has 112 divisors (see below), whose sum is σ = 32162845894872. Its totient is φ = 3870984121344.

The previous prime is 12930162939931. The next prime is 12930162939961. The reversal of 12930162939954 is 45993926103921.

12930162939954 is a `hidden beast` number, since 1 + 2 + 9 + 30 + 162 + 9 + 399 + 54 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12869115896025 + 61047043929 = 3587355^2 + 247077^2 .

It is a super-2 number, since 2×129301629399542 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12930162939891 and 12930162939900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8517439 + ... + 9920034.

Almost surely, 212930162939954 is an apocalyptic number.

12930162939954 is an abundant number, since it is smaller than the sum of its proper divisors (19232682954918).

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

12930162939954 is a wasteful number, since it uses less digits than its factorization.

12930162939954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18437543 (or 18437528 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 63.

The spelling of 12930162939954 in words is "twelve trillion, nine hundred thirty billion, one hundred sixty-two million, nine hundred thirty-nine thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 54 74 78 81 111 117 162 222 234 243 333 351 481 486 666 702 729 962 999 1053 1443 1458 1998 2106 2886 2997 3159 4329 5994 6318 8658 8991 9477 12987 17982 18954 25974 26973 38961 53946 77922 116883 233766 350649 701298 18437473 36874946 55312419 110624838 165937257 239687149 331874514 479374298 497811771 682186501 719061447 995623542 1364373002 1438122894 1493435313 2046559503 2157184341 2986870626 4093119006 4314368682 4480305939 6139678509 6471553023 8868424513 8960611878 12279357018 12943106046 13440917817 17736849026 18419035527 19414659069 26605273539 26881835634 36838071054 38829318138 53210547078 55257106581 58243977207 79815820617 110514213162 116487954414 159631641234 165771319743 174731931621 239447461851 331542639486 349463863242 478894923702 497313959229 718342385553 994627918458 1436684771106 2155027156659 4310054313318 6465081469977 12930162939954