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100506890962504 = 231329311074985999
BaseRepresentation
bin10110110110100100010101…
…100010001000011001001000
3111011212100212001002101222201
4112312210111202020121020
5101133201103041300004
6553432121151125544
730112245311215405
oct2666442542103110
9434770761071881
10100506890962504
112a02a807814804
12b332aaa5138b4
1344109b3b10710
141ab67b92cb2ac
15b9463537e6a4
hex5b6915888648

100506890962504 has 64 divisors (see below), whose sum is σ = 216717177600000. Its totient is φ = 43343435439360.

The previous prime is 100506890962501. The next prime is 100506890962561. The reversal of 100506890962504 is 405269098605001.

It is not an unprimeable number, because it can be changed into a prime (100506890962501) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 537399504 + ... + 537586495.

It is an arithmetic number, because the mean of its divisors is an integer number (3386205900000).

Almost surely, 2100506890962504 is an apocalyptic number.

It is an amenable number.

100506890962504 is an abundant number, since it is smaller than the sum of its proper divisors (116210286637496).

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

100506890962504 is a wasteful number, since it uses less digits than its factorization.

100506890962504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074986078 (or 1074986074 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 55.

The spelling of 100506890962504 in words is "one hundred trillion, five hundred six billion, eight hundred ninety million, nine hundred sixty-two thousand, five hundred four".

Divisors: 1 2 4 8 13 26 29 31 52 58 62 104 116 124 232 248 377 403 754 806 899 1508 1612 1798 3016 3224 3596 7192 11687 23374 46748 93496 1074985999 2149971998 4299943996 8599887992 13974817987 27949635974 31174593971 33324565969 55899271948 62349187942 66649131938 111798543896 124698375884 133298263876 249396751768 266596527752 405269721623 433219357597 810539443246 866438715194 966412413101 1621078886492 1732877430388 1932824826202 3242157772984 3465754860776 3865649652404 7731299304808 12563361370313 25126722740626 50253445481252 100506890962504