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261432140172544 = 2811539531838051
BaseRepresentation
bin111011011100010101101001…
…110110010000110100000000
31021021122200001100102022012101
4323130111221312100310000
5233231301010341010134
62324004133414040144
7106031564101133245
oct7334255166206400
91237580040368171
10261432140172544
1176333825673010
12253a3372949054
13b2b4c393213c3
14487b5513175cc
1520356b372ae14
hexedc569d90d00

261432140172544 has 144 divisors (see below), whose sum is σ = 580633480453824. Its totient is φ = 116468258816000.

The previous prime is 261432140172529. The next prime is 261432140172551. The reversal of 261432140172544 is 445271041234162.

It is a junction number, because it is equal to n+sod(n) for n = 261432140172494 and 261432140172503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141314319 + ... + 143152369.

It is an arithmetic number, because the mean of its divisors is an integer number (4032176947596).

Almost surely, 2261432140172544 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 261432140172544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290316740226912).

261432140172544 is an abundant number, since it is smaller than the sum of its proper divisors (319201340281280).

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

261432140172544 is a wasteful number, since it uses less digits than its factorization.

261432140172544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839084 (or 1839070 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 46.

The spelling of 261432140172544 in words is "two hundred sixty-one trillion, four hundred thirty-two billion, one hundred forty million, one hundred seventy-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 128 176 212 256 352 424 583 704 848 953 1166 1408 1696 1906 2332 2816 3392 3812 4664 6784 7624 9328 10483 13568 15248 18656 20966 30496 37312 41932 50509 60992 74624 83864 101018 121984 149248 167728 202036 243968 335456 404072 555599 670912 808144 1111198 1341824 1616288 1838051 2222396 2683648 3232576 3676102 4444792 6465152 7352204 8889584 12930304 14704408 17779168 20218561 29408816 35558336 40437122 58817632 71116672 80874244 97416703 117635264 142233344 161748488 194833406 235270528 323496976 389666812 470541056 646993952 779333624 1071583733 1293987904 1558667248 1751662603 2143167466 2587975808 3117334496 3503325206 4286334932 5175951616 6234668992 7006650412 8572669864 12469337984 14013300824 17145339728 19268288633 24938675968 28026601648 34290679456 38536577266 56053203296 68581358912 77073154532 92838117959 112106406592 137162717824 154146309064 185676235918 224212813184 274325435648 308292618128 371352471836 448425626368 616585236256 742704943672 1021219297549 1233170472512 1485409887344 2042438595098 2466340945024 2970819774688 4084877190196 4932681890048 5941639549376 8169754380392 11883279098752 16339508760784 23766558197504 32679017521568 65358035043136 130716070086272 261432140172544