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56023068640320 = 263452161383821
BaseRepresentation
bin11001011110011111000110…
…00110110000010001000000
321100100202022222102011110000
430233033203012300101000
524320340221032442240
6315052350433240000
714541350603223405
oct1457174306602100
9240322288364400
1056023068640320
111693a282802441
126349790403000
132534c501258b2
14db97610722ac
1567244de65430
hex32f3e31b0440

56023068640320 has 140 divisors (see below), whose sum is σ = 199283911156044. Its totient is φ = 14939484963840.

The previous prime is 56023068640307. The next prime is 56023068640327. The reversal of 56023068640320 is 2304686032065.

It is a happy number.

56023068640320 is a `hidden beast` number, since 5 + 6 + 0 + 230 + 6 + 8 + 6 + 403 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20304468578304 + 35718600062016 = 4506048^2 + 5976504^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (56023068640327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1080665991 + ... + 1080717830.

Almost surely, 256023068640320 is an apocalyptic number.

It is an amenable number.

56023068640320 is an abundant number, since it is smaller than the sum of its proper divisors (143260842515724).

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

56023068640320 is a wasteful number, since it uses less digits than its factorization.

56023068640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161383850 (or 2161383831 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 56023068640320 in words is "fifty-six trillion, twenty-three billion, sixty-eight million, six hundred forty thousand, three hundred twenty".

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 2161383821 4322767642 6484151463 8645535284 10806919105 12968302926 17291070568 19452454389 21613838210 25936605852 32420757315 34582141136 38904908778 43227676420 51873211704 58357363167 64841514630 69164282272 77809817556 86455352840 97262271945 103746423408 116714726334 129683029260 138328564544 155619635112 172910705680 175072089501 194524543890 207492846816 233429452668 259366058520 291786815835 311239270224 345821411360 350144179002 389049087780 414985693632 466858905336 518732117040 583573631670 622478540448 691642822720 700288358004 778098175560 875360447505 933717810672 1037464234080 1167147263340 1244957080896 1400576716008 1556196351120 1750720895010 1867435621344 2074928468160 2334294526680 2801153432016 3112392702240 3501441790020 3734871242688 4668589053360 5602306864032 6224785404480 7002883580040 9337178106720 11204613728064 14005767160080 18674356213440 28011534320160 56023068640320