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56455652160 = 263452178073
BaseRepresentation
bin110100100101000001…
…001110001101000000
312101201111021021120000
4310211001032031000
51411110121332120
641534012320000
74036011061035
oct644501161500
9171644237500
1056455652160
1121a40820076
12ab36a73000
13542936404b
142a37c6d38c
1517064d5990
hexd2504e340

56455652160 has 140 divisors (see below), whose sum is σ = 200822778948. Its totient is φ = 15054833664.

The previous prime is 56455652159. The next prime is 56455652161. The reversal of 56455652160 is 6125655465.

56455652160 is a `hidden beast` number, since 5 + 6 + 4 + 5 + 565 + 21 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (56455652159) and next prime (56455652161).

It can be written as a sum of positive squares in 2 ways, for example, as 32581694016 + 23873958144 = 180504^2 + 154512^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56455652161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1063117 + ... + 1114956.

Almost surely, 256455652160 is an apocalyptic number.

It is an amenable number.

56455652160 is an abundant number, since it is smaller than the sum of its proper divisors (144367126788).

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

56455652160 is a wasteful number, since it uses less digits than its factorization.

56455652160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178102 (or 2178083 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 56455652160 in words is "fifty-six billion, four hundred fifty-five million, six hundred fifty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 2178073 4356146 6534219 8712292 10890365 13068438 17424584 19602657 21780730 26136876 32671095 34849168 39205314 43561460 52273752 58807971 65342190 69698336 78410628 87122920 98013285 104547504 117615942 130684380 139396672 156821256 174245840 176423913 196026570 209095008 235231884 261368760 294039855 313642512 348491680 352847826 392053140 418190016 470463768 522737520 588079710 627285024 696983360 705695652 784106280 882119565 940927536 1045475040 1176159420 1254570048 1411391304 1568212560 1764239130 1881855072 2090950080 2352318840 2822782608 3136425120 3528478260 3763710144 4704637680 5645565216 6272850240 7056956520 9409275360 11291130432 14113913040 18818550720 28227826080 56455652160