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64968056433 = 32729331111317
BaseRepresentation
bin111100100000011001…
…011101111001110001
320012200201212012222100
4330200121131321301
52031023310301213
645502414531013
74456653240150
oct744031357161
9205621765870
1064968056433
1125609857425
1210711806a69
136184ab3257
1432045db597
151a53999773
hexf2065de71

64968056433 has 48 divisors (see below), whose sum is σ = 107970460416. Its totient is φ = 36875675520.

The previous prime is 64968056407. The next prime is 64968056437. The reversal of 64968056433 is 33465086946.

64968056433 is a `hidden beast` number, since 6 + 49 + 6 + 8 + 0 + 564 + 33 = 666.

It is not a de Polignac number, because 64968056433 - 222 = 64963862129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 64968056433.

It is not an unprimeable number, because it can be changed into a prime (64968056437) 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 47 ways as a sum of consecutive naturals, for example, 5735091 + ... + 5746407.

It is an arithmetic number, because the mean of its divisors is an integer number (2249384592).

Almost surely, 264968056433 is an apocalyptic number.

64968056433 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

64968056433 is a deficient number, since it is larger than the sum of its proper divisors (43002403983).

64968056433 is a wasteful number, since it uses less digits than its factorization.

64968056433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11934 (or 11931 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 64968056433 in words is "sixty-four billion, nine hundred sixty-eight million, fifty-six thousand, four hundred thirty-three".

Divisors: 1 3 7 9 21 63 293 311 879 933 2051 2177 2637 2799 6153 6531 11317 18459 19593 33951 79219 91123 101853 237657 273369 637861 712971 820107 1913583 3315881 3519587 5740749 9947643 10558761 23211167 24637109 29842929 31676283 69633501 73911327 208900503 221733981 1031238991 3093716973 7218672937 9281150919 21656018811 64968056433