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56546320050 = 23352113807833
BaseRepresentation
bin110100101010011011…
…000101111010110010
312101221210212200112000
4310222123011322302
51411301324220200
641551011514430
74041161534643
oct645233057262
9171853780460
1056546320050
1121a87a18210
12ab612b8a16
13544208ac9c
142a45d116ca
15170e445300
hexd2a6c5eb2

56546320050 has 96 divisors (see below), whose sum is σ = 169981709760. Its totient is φ = 13708195200.

The previous prime is 56546320049. The next prime is 56546320063. The reversal of 56546320050 is 5002364565.

It is a happy number.

56546320050 is a `hidden beast` number, since 565 + 46 + 3 + 2 + 0 + 0 + 50 = 666.

It is a super-2 number, since 2×565463200502 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56546319987 and 56546320014.

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, 1889067 + ... + 1918766.

It is an arithmetic number, because the mean of its divisors is an integer number (1770642810).

Almost surely, 256546320050 is an apocalyptic number.

56546320050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56546320050 is an abundant number, since it is smaller than the sum of its proper divisors (113435389710).

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

56546320050 is a wasteful number, since it uses less digits than its factorization.

56546320050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807865 (or 3807854 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 56546320050 in words is "fifty-six billion, five hundred forty-six million, three hundred twenty thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 90 99 110 135 150 165 198 225 270 275 297 330 450 495 550 594 675 825 990 1350 1485 1650 2475 2970 4950 7425 14850 3807833 7615666 11423499 19039165 22846998 34270497 38078330 41886163 57117495 68540994 83772326 95195825 102811491 114234990 125658489 171352485 190391650 205622982 209430815 251316978 285587475 342704970 376975467 418861630 514057455 571174950 628292445 753950934 856762425 1028114910 1047154075 1130926401 1256584890 1713524850 1884877335 2094308150 2261852802 2570287275 3141462225 3769754670 5140574550 5654632005 6282924450 9424386675 11309264010 18848773350 28273160025 56546320050