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56501342450 = 25273125120747
BaseRepresentation
bin110100100111101111…
…100001000011110010
312101211200020120211222
4310213233201003302
51411203320424300
641542323505042
74040104325630
oct644757410362
9171750216758
1056501342450
1121a64597943
12ab4a228182
135435970917
142a3dd64350
15170a50d785
hexd27be10f2

56501342450 has 96 divisors (see below), whose sum is σ = 124480032768. Its totient is φ = 18671400000.

The previous prime is 56501342449. The next prime is 56501342467. The reversal of 56501342450 is 5424310565.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 56501342450.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2712977 + ... + 2733723.

It is an arithmetic number, because the mean of its divisors is an integer number (1296667008).

Almost surely, 256501342450 is an apocalyptic number.

56501342450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56501342450 is an abundant number, since it is smaller than the sum of its proper divisors (67978690318).

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

56501342450 is a wasteful number, since it uses less digits than its factorization.

56501342450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21048 (or 21043 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 56501342450 in words is "fifty-six billion, five hundred one million, three hundred forty-two thousand, four hundred fifty".

Divisors: 1 2 5 7 10 14 25 31 35 50 62 70 155 175 217 251 310 350 434 502 775 1085 1255 1550 1757 2170 2510 3514 5425 6275 7781 8785 10850 12550 15562 17570 20747 38905 41494 43925 54467 77810 87850 103735 108934 145229 194525 207470 272335 290458 389050 518675 544670 643157 726145 1037350 1286314 1361675 1452290 2723350 3215785 3630725 4502099 5207497 6431570 7261450 9004198 10414994 16078925 22510495 26037485 32157850 36452479 45020990 52074970 72904958 112552475 130187425 161432407 182262395 225104950 260374850 322864814 364524790 807162035 911311975 1130026849 1614324070 1822623950 2260053698 4035810175 5650134245 8071620350 11300268490 28250671225 56501342450