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56633381800 = 23521730675431
BaseRepresentation
bin110100101111100111…
…001101001110101000
312102011212200212210021
4310233213031032220
51411441121204200
642003401530224
74043266542202
oct645747151650
9172155625707
1056633381800
1122022081a76
12ab864a3974
135457121708
142a536d5772
151716de141a
hexd2f9cd3a8

56633381800 has 96 divisors (see below), whose sum is σ = 139489197120. Its totient is φ = 21309926400.

The previous prime is 56633381797. The next prime is 56633381801. The reversal of 56633381800 is 818333665.

It is not an unprimeable number, because it can be changed into a prime (56633381801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10425085 + ... + 10430515.

It is an arithmetic number, because the mean of its divisors is an integer number (1453012470).

Almost surely, 256633381800 is an apocalyptic number.

56633381800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56633381800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69744598560).

56633381800 is an abundant number, since it is smaller than the sum of its proper divisors (82855815320).

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

56633381800 is a wasteful number, since it uses less digits than its factorization.

56633381800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8531 (or 8522 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 56633381800 in words is "fifty-six billion, six hundred thirty-three million, three hundred eighty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3067 3400 5431 6134 10862 12268 15335 21724 24536 27155 30670 43448 52139 54310 61340 76675 92327 104278 108620 122680 135775 153350 184654 208556 217240 260695 271550 306700 369308 417112 461635 521390 543100 613400 738616 923270 1042780 1086200 1303475 1846540 2085560 2308175 2606950 3693080 4616350 5213900 9232700 10427800 16656877 18465400 33313754 66627508 83284385 133255016 166568770 283166909 333137540 416421925 566333818 666275080 832843850 1132667636 1415834545 1665687700 2265335272 2831669090 3331375400 5663338180 7079172725 11326676360 14158345450 28316690900 56633381800