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252643343346192 = 243313733023138959
BaseRepresentation
bin111001011100011100011100…
…101111000010101000010000
31020010112110121222122100102210
4321130130130233002220100
5231103302031344034232
62253154425532312120
7104133610365540561
oct7134343457025020
91203473558570383
10252643343346192
1173555492a14287
1224403b80612640
13aac821b803c16
144656008590168
151e31c76ce75cc
hexe5c71cbc2a10

252643343346192 has 160 divisors (see below), whose sum is σ = 691950043791360. Its totient is φ = 79292236193280.

The previous prime is 252643343346137. The next prime is 252643343346193. The reversal of 252643343346192 is 291643343346252.

It is not an unprimeable number, because it can be changed into a prime (252643343346193) 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, 1818044809 + ... + 1818183767.

It is an arithmetic number, because the mean of its divisors is an integer number (4324687773696).

Almost surely, 2252643343346192 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 252643343346192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345975021895680).

252643343346192 is an abundant number, since it is smaller than the sum of its proper divisors (439306700445168).

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

252643343346192 is a wasteful number, since it uses less digits than its factorization.

252643343346192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172061 (or 172055 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 57.

The spelling of 252643343346192 in words is "two hundred fifty-two trillion, six hundred forty-three billion, three hundred forty-three million, three hundred forty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 37 48 62 74 93 111 124 148 186 222 248 296 372 444 496 592 744 888 1147 1488 1776 2294 3441 4588 6882 9176 13764 18352 27528 33023 55056 66046 99069 132092 138959 198138 264184 277918 396276 416877 528368 555836 792552 833754 1023713 1111672 1221851 1585104 1667508 2047426 2223344 2443702 3071139 3335016 3665553 4094852 4307729 4887404 5141483 6142278 6670032 7331106 8189704 8615458 9774808 10282966 12284556 12923187 14662212 15424449 16379408 17230916 19549616 20565932 24569112 25846374 29324424 30848898 34461832 37877381 41131864 49138224 51692748 58648848 61697796 68923664 75754762 82263728 103385496 113632143 123395592 151509524 159385973 206770992 227264286 246791184 303019048 318771946 454528572 478157919 606038096 637543892 909057144 956315838 1275087784 1818114288 1912631676 2550175568 3825263352 4588843057 7650526704 9177686114 13766529171 18355372228 27533058342 36710744456 55066116684 73421488912 110132233368 142254134767 169787193109 220264466736 284508269534 339574386218 426762404301 509361579327 569016539068 679148772436 853524808602 1018723158654 1138033078136 1358297544872 1707049617204 2037446317308 2276066156272 2716595089744 3414099234408 4074892634616 5263402986379 6828198468816 8149785269232 10526805972758 15790208959137 21053611945516 31580417918274 42107223891032 63160835836548 84214447782064 126321671673096 252643343346192