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128010129952292 = 22729732503862789
BaseRepresentation
bin11101000110110010101110…
…010100101100111000100100
3121210020122112001110022221222
4131012302232110230320210
5113234304221231433132
61132131013012555512
735651266232320130
oct3506625624547044
9553218461408858
10128010129952292
1137873878160545
1212435279622b98
1356573c390b133
142387a1ac1c3c0
15ebec85a98412
hex746cae52ce24

128010129952292 has 96 divisors (see below), whose sum is σ = 268584180211200. Its totient is φ = 52223163374592.

The previous prime is 128010129952291. The next prime is 128010129952333. The reversal of 128010129952292 is 292259921010821.

It is not an unprimeable number, because it can be changed into a prime (128010129952291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147936434 + ... + 148799222.

It is an arithmetic number, because the mean of its divisors is an integer number (2797751877200).

Almost surely, 2128010129952292 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 128010129952292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134292090105600).

128010129952292 is an abundant number, since it is smaller than the sum of its proper divisors (140574050258908).

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

128010129952292 is a wasteful number, since it uses less digits than its factorization.

128010129952292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865405 (or 865403 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 53.

The spelling of 128010129952292 in words is "one hundred twenty-eight trillion, ten billion, one hundred twenty-nine million, nine hundred fifty-two thousand, two hundred ninety-two".

Divisors: 1 2 4 7 14 28 29 58 73 116 146 203 292 406 511 812 1022 2044 2117 2503 4234 5006 8468 10012 14819 17521 29638 35042 59276 70084 72587 145174 182719 290348 365438 508109 730876 862789 1016218 1279033 1725578 2032436 2558066 3451156 5116132 5298851 6039523 10597702 12079046 21195404 24158092 25020881 37091957 50041762 62983597 74183914 100083524 125967194 148367828 175146167 251934388 350292334 440885179 700584668 881770358 1763540716 1826524313 2159560867 3653048626 4319121734 7306097252 8638243468 12785670191 15116926069 25571340382 30233852138 51142680764 60467704276 62627265143 125254530286 157647943291 250509060572 315295886582 438390856001 630591773164 876781712002 1103535603037 1753563424004 2207071206074 4414142412148 4571790355439 9143580710878 18287161421756 32002532488073 64005064976146 128010129952292