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56686341322560 = 2635226926023919
BaseRepresentation
bin11001110001110010100010…
…01111001111011101000000
321102201011100120222111201210
430320321101033033131000
524412222111334310220
6320321202400530120
714640311245053645
oct1470712117173500
9242634316874653
1056686341322560
11170755a6959664
126436239020940
132582664549441
14ddd8c26b3dcc
1568481d9de6e0
hex338e513cf740

56686341322560 has 112 divisors (see below), whose sum is σ = 180058461523200. Its totient is φ = 15109694982144.

The previous prime is 56686341322537. The next prime is 56686341322571. The reversal of 56686341322560 is 6522314368665.

It is a happy number.

56686341322560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 56686341322560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10833720 + ... + 15190199.

Almost surely, 256686341322560 is an apocalyptic number.

It is an amenable number.

56686341322560 is an abundant number, since it is smaller than the sum of its proper divisors (123372120200640).

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

56686341322560 is a wasteful number, since it uses less digits than its factorization.

56686341322560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26026208 (or 26026198 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 57.

The spelling of 56686341322560 in words is "fifty-six trillion, six hundred eighty-six billion, three hundred forty-one million, three hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2269 4538 6807 9076 11345 13614 18152 22690 27228 34035 36304 45380 54456 68070 72608 90760 108912 136140 145216 181520 217824 272280 363040 435648 544560 726080 1089120 2178240 26023919 52047838 78071757 104095676 130119595 156143514 208191352 260239190 312287028 390358785 416382704 520478380 624574056 780717570 832765408 1040956760 1249148112 1561435140 1665530816 2081913520 2498296224 3122870280 4163827040 4996592448 6245740560 8327654080 12491481120 24982962240 59048272211 118096544422 177144816633 236193088844 295241361055 354289633266 472386177688 590482722110 708579266532 885724083165 944772355376 1180965444220 1417158533064 1771448166330 1889544710752 2361930888440 2834317066128 3542896332660 3779089421504 4723861776880 5668634132256 7085792665320 9447723553760 11337268264512 14171585330640 18895447107520 28343170661280 56686341322560