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64744444746 = 2333773443899
BaseRepresentation
bin111100010011000100…
…011101001101001010
320012010011002120102000
4330103010131031022
52030044034212441
645424310051430
74451266462062
oct742304351512
9205104076360
1064744444746
1125504607683
121066a949b76
13614a67c947
1431c2a303a2
151a3e0292b6
hexf1311d34a

64744444746 has 64 divisors (see below), whose sum is σ = 149789616000. Its totient is φ = 20710505088.

The previous prime is 64744444729. The next prime is 64744444753.

64744444746 is a `hidden beast` number, since 64 + 74 + 4 + 44 + 474 + 6 = 666.

64744444746 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 64744444692 and 64744444701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76096 + ... + 367803.

It is an arithmetic number, because the mean of its divisors is an integer number (2340462750).

Almost surely, 264744444746 is an apocalyptic number.

64744444746 is an abundant number, since it is smaller than the sum of its proper divisors (85045171254).

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

64744444746 is a wasteful number, since it uses less digits than its factorization.

64744444746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444020 (or 444014 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 54.

The spelling of 64744444746 in words is "sixty-four billion, seven hundred forty-four million, four hundred forty-four thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 18 27 37 54 73 74 111 146 219 222 333 438 657 666 999 1314 1971 1998 2701 3942 5402 8103 16206 24309 48618 72927 145854 443899 887798 1331697 2663394 3995091 7990182 11985273 16424263 23970546 32404627 32848526 49272789 64809254 97213881 98545578 147818367 194427762 291641643 295636734 443455101 583283286 874924929 886910202 1198971199 1749849858 2397942398 3596913597 7193827194 10790740791 21581481582 32372222373 64744444746