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42875656436768 = 25191133467180001
BaseRepresentation
bin10011011111110110001000…
…10001010111110000100000
312121210212120012211210122212
421233323010101113300200
521104433321021434033
6231104445445421252
712013443510333551
oct1157730421276040
9177725505753585
1042875656436768
1112730511324351
12498570a70a828
131ac020707a43c
14a8329b242328
154e5462ebd748
hex26fec4457c20

42875656436768 has 96 divisors (see below), whose sum is σ = 89666829887040. Its totient is φ = 20123873280000.

The previous prime is 42875656436731. The next prime is 42875656436827. The reversal of 42875656436768 is 86763465657824.

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, 238106768 + ... + 238286768.

It is an arithmetic number, because the mean of its divisors is an integer number (934029477990).

Almost surely, 242875656436768 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 42875656436768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44833414943520).

42875656436768 is an abundant number, since it is smaller than the sum of its proper divisors (46791173450272).

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

42875656436768 is a wasteful number, since it uses less digits than its factorization.

42875656436768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183610 (or 183602 counting only the distinct ones).

The product of its digits is 9754214400, while the sum is 77.

The spelling of 42875656436768 in words is "forty-two trillion, eight hundred seventy-five billion, six hundred fifty-six million, four hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 113 152 226 304 452 608 904 1808 2147 3467 3616 4294 6934 8588 13868 17176 27736 34352 55472 65873 68704 110944 131746 180001 263492 360002 391771 526984 720004 783542 1053968 1440008 1567084 2107936 2880016 3134168 3420019 5760032 6268336 6840038 7443649 12536672 13680076 14887298 20340113 27360152 29774596 40680226 54720304 59549192 81360452 109440608 119098384 162720904 238196768 325441808 386462147 624063467 650883616 772924294 1248126934 1545848588 2496253868 3091697176 4992507736 6183394352 9985015472 11857205873 12366788704 19970030944 23714411746 47428823492 70519171771 94857646984 141038343542 189715293968 282076687084 379430587936 564153374168 1128306748336 1339864263649 2256613496672 2679728527298 5359457054596 10718914109192 21437828218384 42875656436768