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46827568868612 = 22721135849361481
BaseRepresentation
bin10101010010110111001001…
…00110111010110100000100
320010210200010210021221021012
422221123210212322310010
522114210330112243422
6243332142124141352
712602115544632200
oct1251334446726404
9203720123257235
1046827568868612
1113a1450791a254
1253035b6097858
132018a893a041c
14b7c675c33b00
1556315c44a4e2
hex2a96e49bad04

46827568868612 has 72 divisors (see below), whose sum is σ = 96187865974200. Its totient is φ = 19887900856320.

The previous prime is 46827568868593. The next prime is 46827568868723. The reversal of 46827568868612 is 21686886572864.

It can be written as a sum of positive squares in 4 ways, for example, as 1578053514436 + 45249515354176 = 1256206^2 + 6726776^2 .

It is a super-2 number, since 2×468275688686122 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129362912 + ... + 129724392.

It is an arithmetic number, because the mean of its divisors is an integer number (1335942582975).

Almost surely, 246827568868612 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46827568868612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48093932987100).

46827568868612 is an abundant number, since it is smaller than the sum of its proper divisors (49360297105588).

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

46827568868612 is a wasteful number, since it uses less digits than its factorization.

46827568868612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367461 (or 367452 counting only the distinct ones).

The product of its digits is 2972712960, while the sum is 77.

The spelling of 46827568868612 in words is "forty-six trillion, eight hundred twenty-seven billion, five hundred sixty-eight million, eight hundred sixty-eight thousand, six hundred twelve".

Divisors: 1 2 4 7 14 28 49 98 113 196 226 452 791 1582 3164 5537 5849 11074 11698 22148 23396 40943 81886 163772 286601 361481 573202 660937 722962 1146404 1321874 1445924 2530367 2643748 4626559 5060734 9253118 10121468 17712569 18506236 32385913 35425138 40847353 64771826 70850276 81694706 129543652 163389412 285931471 571862942 1143725884 2001520297 2114302369 4003040594 4228604738 8006081188 8457209476 14800116583 29600233166 59200466332 103600816081 207201632162 238916167697 414403264324 477832335394 955664670788 1672413173879 3344826347758 6689652695516 11706892217153 23413784434306 46827568868612