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56877456688 = 24131967214807
BaseRepresentation
bin110100111110001010…
…010001110100110000
312102210212222011120221
4310332022101310300
51412441112103223
642043521142424
74052322255613
oct647612216460
9172725864527
1056877456688
1122137929058
12b03418aa14
13549586b220
142a77cac17a
15172d554b5d
hexd3e291d30

56877456688 has 80 divisors (see below), whose sum is σ = 126788273920. Its totient is φ = 24498194688.

The previous prime is 56877456679. The next prime is 56877456697. The reversal of 56877456688 is 88665477865.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56877456679) and next prime (56877456697).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157381 + ... + 372187.

It is an arithmetic number, because the mean of its divisors is an integer number (1584853424).

Almost surely, 256877456688 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 56877456688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63394136960).

56877456688 is an abundant number, since it is smaller than the sum of its proper divisors (69910817232).

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

56877456688 is a wasteful number, since it uses less digits than its factorization.

56877456688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214914 (or 214908 counting only the distinct ones).

The product of its digits is 541900800, while the sum is 70.

The spelling of 56877456688 in words is "fifty-six billion, eight hundred seventy-seven million, four hundred fifty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 19 26 38 52 67 76 104 134 152 208 247 268 304 494 536 871 988 1072 1273 1742 1976 2546 3484 3952 5092 6968 10184 13936 16549 20368 33098 66196 132392 214807 264784 429614 859228 1718456 2792491 3436912 4081333 5584982 8162666 11169964 14392069 16325332 22339928 28784138 32650664 44679856 53057329 57568276 65301328 106114658 115136552 187096897 212229316 230273104 273449311 374193794 424458632 546898622 748387588 848917264 1093797244 1496775176 2187594488 2993550352 3554841043 4375188976 7109682086 14219364172 28438728344 56877456688