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256631147043660 = 223252361988199769
BaseRepresentation
bin111010010110011110011000…
…010110111001101101001100
31020122122200211212211200120100
4322112132120112321231030
5232114121042120344120
62305450415453251100
7105024663026642454
oct7226363026715514
91218580755750510
10256631147043660
1174852727167284
1224948a03a93a90
13b0272a08a679c
144753029bb2d64
151ea08721a8490
hexe967985b9b4c

256631147043660 has 72 divisors (see below), whose sum is σ = 812293369786080. Its totient is φ = 65459538955008.

The previous prime is 256631147043553. The next prime is 256631147043763. The reversal of 256631147043660 is 66340741136652.

256631147043660 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 3 + 1 + 147 + 0 + 436 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 256631147043597 and 256631147043606.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30994095745 + ... + 30994104024.

It is an arithmetic number, because the mean of its divisors is an integer number (11281852358140).

Almost surely, 2256631147043660 is an apocalyptic number.

256631147043660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256631147043660 is an abundant number, since it is smaller than the sum of its proper divisors (555662222742420).

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

256631147043660 is a wasteful number, since it uses less digits than its factorization.

256631147043660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61988199807 (or 61988199802 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 256631147043660 in words is "two hundred fifty-six trillion, six hundred thirty-one billion, one hundred forty-seven million, forty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 61988199769 123976399538 185964599307 247952799076 309940998845 371929198614 557893797921 619881997690 743858397228 929822996535 1115787595842 1239763995380 1425728594687 1859645993070 2231575191684 2789468989605 2851457189374 3719291986140 4277185784061 5578937979210 5702914378748 7128642973435 8554371568122 11157875958420 12831557352183 14257285946870 17108743136244 21385928920305 25663114704366 28514571893740 42771857840610 51326229408732 64157786760915 85543715681220 128315573521830 256631147043660