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55680493464 = 233229239111577
BaseRepresentation
bin110011110110110100…
…001110011110011000
312022201110200010201200
4303312310032132120
51403013201242324
641325042114200
74010546246121
oct636664163630
9168643603650
1055680493464
1121683206952
12a95b34b960
13533489b06b
1429a2d2d048
1516ad418ec9
hexcf6d0e798

55680493464 has 96 divisors (see below), whose sum is σ = 156655512000. Its totient is φ = 17845019136.

The previous prime is 55680493459. The next prime is 55680493469. The reversal of 55680493464 is 46439408655.

55680493464 is a `hidden beast` number, since 5 + 568 + 0 + 49 + 34 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (55680493459) and next prime (55680493469).

It is a self number, because there is not a number n which added to its sum of digits gives 55680493464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55680493469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443244 + ... + 554820.

It is an arithmetic number, because the mean of its divisors is an integer number (1631828250).

Almost surely, 255680493464 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 55680493464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78327756000).

55680493464 is an abundant number, since it is smaller than the sum of its proper divisors (100975018536).

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

55680493464 is a wasteful number, since it uses less digits than its factorization.

55680493464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111857 (or 111850 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 55680493464 in words is "fifty-five billion, six hundred eighty million, four hundred ninety-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 239 261 348 478 522 696 717 956 1044 1434 1912 2088 2151 2868 4302 5736 6931 8604 13862 17208 20793 27724 41586 55448 62379 83172 111577 124758 166344 223154 249516 334731 446308 499032 669462 892616 1004193 1338924 2008386 2677848 3235733 4016772 6471466 8033544 9707199 12942932 19414398 25885864 26666903 29121597 38828796 53333806 58243194 77657592 80000709 106667612 116486388 160001418 213335224 232972776 240002127 320002836 480004254 640005672 773340187 960008508 1546680374 1920017016 2320020561 3093360748 4640041122 6186721496 6960061683 9280082244 13920123366 18560164488 27840246732 55680493464