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256839448068 = 223272935144971
BaseRepresentation
bin1110111100110011010…
…0101111011000000100
3220112221120201211001200
43233030310233120010
513202001344314233
6313553532422500
724361502200410
oct3571464573004
9815846654050
10256839448068
1199a1a199875
124193b017a30
131b2b2040098
14c606cd7d40
156a334bc313
hex3bccd2f604

256839448068 has 72 divisors (see below), whose sum is σ = 767566188480. Its totient is φ = 70852259520.

The previous prime is 256839448057. The next prime is 256839448079. The reversal of 256839448068 is 860844938652.

256839448068 is a `hidden beast` number, since 2 + 5 + 6 + 8 + 3 + 94 + 480 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (256839448057) and next prime (256839448079).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 256839447996 and 256839448014.

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, 17565178 + ... + 17579793.

Almost surely, 2256839448068 is an apocalyptic number.

256839448068 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

256839448068 is an abundant number, since it is smaller than the sum of its proper divisors (510726740412).

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

256839448068 is a wasteful number, since it uses less digits than its factorization.

256839448068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35145017 (or 35145012 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 256839448068 in words is "two hundred fifty-six billion, eight hundred thirty-nine million, four hundred forty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 7308 35144971 70289942 105434913 140579884 210869826 246014797 316304739 421739652 492029594 632609478 738044391 984059188 1019204159 1265218956 1476088782 2038408318 2214133173 2952177564 3057612477 4076816636 4428266346 6115224954 7134429113 8856532692 9172837431 12230449908 14268858226 18345674862 21403287339 28537716452 36691349724 42806574678 64209862017 85613149356 128419724034 256839448068