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56160646560 = 25325311258079
BaseRepresentation
bin110100010011011011…
…110111010110100000
312100221221011102221200
4310103123313112200
51410004111142220
641444433321200
74025466422304
oct642333672640
9170857142850
1056160646560
11218aa247a97
12aa74106200
1353b01c4615
142a0a9d9d04
1516da661890
hexd136f75a0

56160646560 has 144 divisors (see below), whose sum is σ = 197830563840. Its totient is φ = 14493058560.

The previous prime is 56160646541. The next prime is 56160646561. The reversal of 56160646560 is 6564606165.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (56160646561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 584400 + ... + 673679.

It is an arithmetic number, because the mean of its divisors is an integer number (1373823360).

Almost surely, 256160646560 is an apocalyptic number.

It is an amenable number.

56160646560 is an abundant number, since it is smaller than the sum of its proper divisors (141669917280).

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

56160646560 is a wasteful number, since it uses less digits than its factorization.

56160646560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258131 (or 1258120 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 56160646560 in words is "fifty-six billion, one hundred sixty million, six hundred forty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1860 2232 2480 2790 2976 3720 4464 4960 5580 7440 8928 11160 14880 22320 44640 1258079 2516158 3774237 5032316 6290395 7548474 10064632 11322711 12580790 15096948 18871185 20129264 22645422 25161580 30193896 37742370 39000449 40258528 45290844 50323160 56613555 60387792 75484740 78000898 90581688 100646320 113227110 117001347 120775584 150969480 156001796 181163376 195002245 201292640 226454220 234002694 301938960 312003592 351004041 362326752 390004490 452908440 468005388 585006735 603877920 624007184 702008082 780008980 905816880 936010776 1170013470 1248014368 1404016164 1560017960 1755020205 1811633760 1872021552 2340026940 2808032328 3120035920 3510040410 3744043104 4680053880 5616064656 6240071840 7020080820 9360107760 11232129312 14040161640 18720215520 28080323280 56160646560