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46882855272 = 233111740925541
BaseRepresentation
bin101011101010011011…
…111001100101101000
311111000100100210221010
4223222123321211220
51232004002332042
633312050143520
73246541460151
oct535233714550
9144010323833
1046882855272
1118979171090
129104b81ba0
1345620210a6
1423aa752928
151345db159c
hexaea6f9968

46882855272 has 128 divisors (see below), whose sum is σ = 135719971200. Its totient is φ = 13338009600.

The previous prime is 46882855171. The next prime is 46882855291. The reversal of 46882855272 is 27255828864.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1822822 + ... + 1848362.

It is an arithmetic number, because the mean of its divisors is an integer number (1060312275).

Almost surely, 246882855272 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 46882855272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67859985600).

46882855272 is an abundant number, since it is smaller than the sum of its proper divisors (88837115928).

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

46882855272 is a wasteful number, since it uses less digits than its factorization.

46882855272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25987 (or 25983 counting only the distinct ones).

The product of its digits is 17203200, while the sum is 57.

The spelling of 46882855272 in words is "forty-six billion, eight hundred eighty-two million, eight hundred fifty-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 409 561 748 818 1122 1227 1496 1636 2244 2454 3272 4488 4499 4908 6953 8998 9816 13497 13906 17996 20859 25541 26994 27812 35992 41718 51082 53988 55624 76483 76623 83436 102164 107976 152966 153246 166872 204328 229449 280951 305932 306492 434197 458898 561902 611864 612984 842853 868394 917796 1123804 1302591 1685706 1736788 1835592 2247608 2605182 3371412 3473576 4776167 5210364 6742824 9552334 10420728 10446269 14328501 19104668 20892538 28657002 31338807 38209336 41785076 57314004 62677614 83570152 114628008 114908959 125355228 177586573 229817918 250710456 344726877 355173146 459635836 532759719 689453754 710346292 919271672 1065519438 1378907508 1420692584 1953452303 2131038876 2757815016 3906904606 4262077752 5860356909 7813809212 11720713818 15627618424 23441427636 46882855272