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1157900967912 = 23313231271270531
BaseRepresentation
bin10000110110011000010…
…001101001111111101000
311002200202002221200202210
4100312120101221333220
5122432340121433122
62243533220125120
7146440602556113
oct20663021517750
94080662850683
101157900967912
11407076a01197
121684aa8367a0
13852606c6030
144008528357a
15201bdccd40c
hex10d98469fe8

1157900967912 has 128 divisors (see below), whose sum is σ = 3278582415360. Its totient is φ = 338103279360.

The previous prime is 1157900967887. The next prime is 1157900967913. The reversal of 1157900967912 is 2197690097511.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1157900967913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276087 + ... + 1546617.

It is an arithmetic number, because the mean of its divisors is an integer number (25613925120).

Almost surely, 21157900967912 is an apocalyptic number.

1157900967912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157900967912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639291207680).

1157900967912 is an abundant number, since it is smaller than the sum of its proper divisors (2120681447448).

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

1157900967912 is a wasteful number, since it uses less digits than its factorization.

1157900967912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270703 (or 1270699 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 57.

The spelling of 1157900967912 in words is "one trillion, one hundred fifty-seven billion, nine hundred million, nine hundred sixty-seven thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 127 138 156 184 254 276 299 312 381 508 552 598 762 897 1016 1196 1524 1651 1794 2392 2921 3048 3302 3588 4953 5842 6604 7176 8763 9906 11684 13208 17526 19812 23368 35052 37973 39624 70104 75946 113919 151892 227838 303784 455676 911352 1270531 2541062 3811593 5082124 7623186 10164248 15246372 16516903 29222213 30492744 33033806 49550709 58444426 66067612 87666639 99101418 116888852 132135224 161357437 175333278 198202836 233777704 322714874 350666556 379888769 396405672 484072311 645429748 701333112 759777538 968144622 1139666307 1290859496 1519555076 1936289244 2097646681 2279332614 3039110152 3711221051 3872578488 4195293362 4558665228 6292940043 7422442102 8390586724 9117330456 11133663153 12585880086 14844884204 16781173448 22267326306 25171760172 29689768408 44534652612 48245873663 50343520344 89069305224 96491747326 144737620989 192983494652 289475241978 385966989304 578950483956 1157900967912