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45979412864 = 277114665119
BaseRepresentation
bin101010110100100101…
…100010100110000000
311101200101101011221012
4222310211202212000
51223131212202424
633042254220052
73215261363240
oct526445424600
9141611334835
1045979412864
11185551a8470
128ab24b4628
134449ac0898
14232277bb20
1512e1904b0e
hexab4962980

45979412864 has 64 divisors (see below), whose sum is σ = 114202137600. Its totient is φ = 17914053120.

The previous prime is 45979412863. The next prime is 45979412923. The reversal of 45979412864 is 46821497954.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×459794128642 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45979412863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2322704 + ... + 2342415.

It is an arithmetic number, because the mean of its divisors is an integer number (1784408400).

Almost surely, 245979412864 is an apocalyptic number.

45979412864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45979412864 is an abundant number, since it is smaller than the sum of its proper divisors (68222724736).

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

45979412864 is a wasteful number, since it uses less digits than its factorization.

45979412864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4665151 (or 4665139 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 59.

The spelling of 45979412864 in words is "forty-five billion, nine hundred seventy-nine million, four hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4928 9856 4665119 9330238 18660476 32655833 37320952 51316309 65311666 74641904 102632618 130623332 149283808 205265236 261246664 298567616 359214163 410530472 522493328 597135232 718428326 821060944 1044986656 1436856652 1642121888 2089973312 2873713304 3284243776 4179946624 5747426608 6568487552 11494853216 22989706432 45979412864