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56878969680 = 24325136076813
BaseRepresentation
bin110100111110010000…
…000011001101010000
312102210222211001000200
4310332100003031100
51412442004012210
642044013415200
74052341156641
oct647620031520
9172728731020
1056878969680
1122138771865
12b03479a500
135495c7aaa0
142a781836c8
15172d7530c0
hexd3e403350

56878969680 has 120 divisors (see below), whose sum is σ = 205712307528. Its totient is φ = 14000974848.

The previous prime is 56878969669. The next prime is 56878969717. The reversal of 56878969680 is 8696987865.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 231161616 + 56647808064 = 15204^2 + 238008^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 56878969599 and 56878969608.

It is a congruent number.

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, 3029047 + ... + 3047766.

Almost surely, 256878969680 is an apocalyptic number.

It is an amenable number.

56878969680 is an abundant number, since it is smaller than the sum of its proper divisors (148833337848).

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

56878969680 is a wasteful number, since it uses less digits than its factorization.

56878969680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6076845 (or 6076836 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 56878969680 in words is "fifty-six billion, eight hundred seventy-eight million, nine hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 6076813 12153626 18230439 24307252 30384065 36460878 48614504 54691317 60768130 72921756 78998569 91152195 97229008 109382634 121536260 145843512 157997138 182304390 218765268 236995707 243072520 273456585 291687024 315994276 364608780 394992845 437530536 473991414 486145040 546913170 631988552 710987121 729217560 789985690 875061072 947982828 1093826340 1184978535 1263977104 1421974242 1458435120 1579971380 1895965656 2187652680 2369957070 2843948484 3159942760 3554935605 3791931312 4375305360 4739914140 5687896968 6319885520 7109871210 9479828280 11375793936 14219742420 18959656560 28439484840 56878969680