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252550483944 = 2331147197103319
BaseRepresentation
bin1110101100110100101…
…1101000111111101000
3220010212200021212100120
43223031023220333220
513114210410441234
6312004201203240
724150302460003
oct3531513507750
9803780255316
10252550483944
1198119189620
1240b42790520
131aa7a5b5aa5
14c31b44453a
156881bb8049
hex3acd2e8fe8

252550483944 has 128 divisors (see below), whose sum is σ = 707006361600. Its totient is φ = 74521207040.

The previous prime is 252550483937. The next prime is 252550483961. The reversal of 252550483944 is 449384055252.

It is a super-3 number, since 3×2525504839443 (a number of 35 digits) contains 333 as substring.

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, 2392717 + ... + 2496035.

It is an arithmetic number, because the mean of its divisors is an integer number (5523487200).

Almost surely, 2252550483944 is an apocalyptic number.

252550483944 is a gapful number since it is divisible by the number (24) 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 252550483944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353503180800).

252550483944 is an abundant number, since it is smaller than the sum of its proper divisors (454455877656).

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

252550483944 is a wasteful number, since it uses less digits than its factorization.

252550483944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103583 (or 103579 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 51.

The spelling of 252550483944 in words is "two hundred fifty-two billion, five hundred fifty million, four hundred eighty-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 197 264 282 376 394 517 564 591 788 1034 1128 1182 1551 1576 2068 2167 2364 3102 4136 4334 4728 6204 6501 8668 9259 12408 13002 17336 18518 26004 27777 37036 52008 55554 74072 101849 103319 111108 203698 206638 222216 305547 309957 407396 413276 611094 619914 814792 826552 1136509 1222188 1239828 2273018 2444376 2479656 3409527 4546036 4855993 6819054 9092072 9711986 13638108 14567979 19423972 20353843 27276216 29135958 38847944 40707686 53415923 58271916 61061529 81415372 106831846 116543832 122123058 160247769 162830744 213663692 223892273 244246116 320495538 427327384 447784546 488492232 640991076 671676819 895569092 956630621 1281982152 1343353638 1791138184 1913261242 2686707276 2869891863 3826522484 5373414552 5739783726 7653044968 10522936831 11479567452 21045873662 22959134904 31568810493 42091747324 63137620986 84183494648 126275241972 252550483944