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56452635720 = 23345131340281
BaseRepresentation
bin110100100100110101…
…101101110001001000
312101201021121000210000
4310210311231301020
51411103333320340
641533423523000
74035643325535
oct644465556110
9171637530700
1056452635720
1121a3a04a848
12ab35a59460
135428849080
142a376c5d8c
1517060dbd30
hexd24d6dc48

56452635720 has 160 divisors (see below), whose sum is σ = 204339393720. Its totient is φ = 13896023040.

The previous prime is 56452635713. The next prime is 56452635727. The reversal of 56452635720 is 2753625465.

56452635720 is a `hidden beast` number, since 5 + 6 + 4 + 5 + 2 + 635 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56452635713) and next prime (56452635727).

It can be written as a sum of positive squares in 4 ways, for example, as 29308755204 + 27143880516 = 171198^2 + 164754^2 .

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 (56452635727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 628021 + ... + 712260.

Almost surely, 256452635720 is an apocalyptic number.

It is an amenable number.

56452635720 is an abundant number, since it is smaller than the sum of its proper divisors (147886758000).

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

56452635720 is a wasteful number, since it uses less digits than its factorization.

56452635720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340317 (or 1340304 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 56452635720 in words is "fifty-six billion, four hundred fifty-two million, six hundred thirty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1560 1620 1755 2106 2340 2808 3240 3510 4212 4680 5265 7020 8424 10530 14040 21060 42120 1340281 2680562 4020843 5361124 6701405 8041686 10722248 12062529 13402810 16083372 17423653 20104215 24125058 26805620 32166744 34847306 36187587 40208430 48250116 52270959 53611240 60312645 69694612 72375174 80416860 87118265 96500232 104541918 108562761 120625290 139389224 144750348 156812877 160833720 174236530 180937935 209083836 217125522 241250580 261354795 289500696 313625754 348473060 361875870 418167672 434251044 470438631 482501160 522709590 542813805 627251508 696946120 723751740 784064385 868502088 940877262 1045419180 1085627610 1254503016 1411315893 1447503480 1568128770 1881754524 2090838360 2171255220 2352193155 2822631786 3136257540 3763509048 4342510440 4704386310 5645263572 6272515080 7056579465 9408772620 11290527144 14113158930 18817545240 28226317860 56452635720