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56462160128 = 2811531492539
BaseRepresentation
bin110100100101011010…
…000011000100000000
312101201221111220210212
4310211122003010000
51411113303111003
641534404013252
74036120304513
oct644532030400
9171657456725
1056462160128
1121a44465660
12ab39091228
13542a80230a
142a38a84d7a
151706d6ddd8
hexd25683100

56462160128 has 144 divisors (see below), whose sum is σ = 126159768000. Its totient is φ = 25001533440.

The previous prime is 56462160119. The next prime is 56462160133. The reversal of 56462160128 is 82106126465.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22236683 + ... + 22239221.

It is an arithmetic number, because the mean of its divisors is an integer number (876109500).

Almost surely, 256462160128 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 56462160128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63079884000).

56462160128 is an abundant number, since it is smaller than the sum of its proper divisors (69697607872).

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

56462160128 is a wasteful number, since it uses less digits than its factorization.

56462160128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 56462160128 in words is "fifty-six billion, four hundred sixty-two million, one hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 128 149 176 212 256 298 352 424 583 596 704 848 1166 1192 1408 1639 1696 2332 2384 2539 2816 3278 3392 4664 4768 5078 6556 6784 7897 9328 9536 10156 13112 13568 15794 18656 19072 20312 26224 27929 31588 37312 38144 40624 52448 55858 63176 74624 81248 86867 104896 111716 126352 134567 149248 162496 173734 209792 223432 252704 269134 324992 347468 378311 419584 446864 505408 538268 649984 694936 756622 893728 1010816 1076536 1389872 1480237 1513244 1787456 2021632 2153072 2779744 2960474 3026488 3574912 4161421 4306144 5559488 5920948 6052976 7149824 8322842 8612288 11118976 11841896 12105952 16645684 17224576 20050483 22237952 23683792 24211904 33291368 34449152 40100966 47367584 48423808 66582736 80201932 94735168 96847616 133165472 160403864 189470336 220555313 266330944 320807728 378940672 441110626 532661888 641615456 882221252 1065323776 1283230912 1764442504 2566461824 3528885008 5132923648 7057770016 14115540032 28231080064 56462160128