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256960112190 = 235127339119889
BaseRepresentation
bin1110111101010000000…
…1000010011000111110
3220120020222210012010020
43233110001002120332
513202223242042230
6314013522553010
724364465626015
oct3572401023076
9816228705106
10256960112190
1199a81314591
1241973508766
131b30103a382
14c618d47a7c
156a3dda4810
hex3bd404263e

256960112190 has 64 divisors (see below), whose sum is σ = 621774766080. Its totient is φ = 67959682560.

The previous prime is 256960112153. The next prime is 256960112203. The reversal of 256960112190 is 91211069652.

It is a super-2 number, since 2×2569601121902 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 12909766 + ... + 12929654.

It is an arithmetic number, because the mean of its divisors is an integer number (9715230720).

Almost surely, 2256960112190 is an apocalyptic number.

256960112190 is an abundant number, since it is smaller than the sum of its proper divisors (364814653890).

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

256960112190 is a wasteful number, since it uses less digits than its factorization.

256960112190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23417.

The product of its (nonzero) digits is 58320, while the sum is 42.

The spelling of 256960112190 in words is "two hundred fifty-six billion, nine hundred sixty million, one hundred twelve thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 127 254 381 635 762 1270 1905 3391 3810 6782 10173 16955 19889 20346 33910 39778 50865 59667 99445 101730 119334 198890 298335 430657 596670 861314 1291971 2153285 2525903 2583942 4306570 5051806 6459855 7577709 12629515 12919710 15155418 25259030 37888545 67443599 75777090 134887198 202330797 337217995 404661594 674435990 1011653985 2023307970 8565337073 17130674146 25696011219 42826685365 51392022438 85653370730 128480056095 256960112190