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1056481727160 = 233598315715701
BaseRepresentation
bin11110101111110110011…
…01111101001010111000
310201222222000202110012210
433113323031331022320
5114302133310232120
62125201353535120
7136220413340346
oct17277315751270
93658860673183
101056481727160
11378062435552
121509057144a0
1378819b5c182
14391c3942996
151c73519cce0
hexf5fb37d2b8

1056481727160 has 128 divisors (see below), whose sum is σ = 3175245826560. Its totient is φ = 281213376000.

The previous prime is 1056481727153. The next prime is 1056481727183. The reversal of 1056481727160 is 617271846501.

It is a super-2 number, since 2×10564817271602 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 185312310 + ... + 185318010.

It is an arithmetic number, because the mean of its divisors is an integer number (24806608020).

Almost surely, 21056481727160 is an apocalyptic number.

1056481727160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056481727160 is an abundant number, since it is smaller than the sum of its proper divisors (2118764099400).

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

1056481727160 is a wasteful number, since it uses less digits than its factorization.

1056481727160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8269 (or 8265 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 1056481727160 in words is "one trillion, fifty-six billion, four hundred eighty-one million, seven hundred twenty-seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 983 1571 1966 2949 3142 3932 4713 4915 5701 5898 6284 7855 7864 9426 9830 11402 11796 12568 14745 15710 17103 18852 19660 22804 23565 23592 28505 29490 31420 34206 37704 39320 45608 47130 57010 58980 62840 68412 85515 94260 114020 117960 136824 171030 188520 228040 342060 684120 1544293 3088586 4632879 5604083 6177172 7721465 8956271 9265758 11208166 12354344 15442930 16812249 17912542 18531516 22416332 23164395 26868813 28020415 30885860 33624498 35825084 37063032 44781355 44832664 46328790 53737626 56040830 61771720 67248996 71650168 84061245 89562710 92657580 107475252 112081660 134344065 134497992 168122490 179125420 185315160 214950504 224163320 268688130 336244980 358250840 537376260 672489960 1074752520 8804014393 17608028786 26412043179 35216057572 44020071965 52824086358 70432115144 88040143930 105648172716 132060215895 176080287860 211296345432 264120431790 352160575720 528240863580 1056481727160