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116060552800 = 25523112793659
BaseRepresentation
bin110110000010110111…
…1110111111001100000
3102002120110101221212121
41230011233313321200
53400143000142200
6125152324234024
711246042264413
oct1540557677140
9362513357777
10116060552800
114524817a135
121a5b053b914
13ac37ca741a
145890075b7a
1530441e1e1a
hex1b05bf7e60

116060552800 has 144 divisors (see below), whose sum is σ = 292781260800. Its totient is φ = 44879270400.

The previous prime is 116060552719. The next prime is 116060552801. The reversal of 116060552800 is 8255060611.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116060552801) 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, 31717371 + ... + 31721029.

It is an arithmetic number, because the mean of its divisors is an integer number (2033203200).

Almost surely, 2116060552800 is an apocalyptic number.

116060552800 is a gapful number since it is divisible by the number (10) 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 116060552800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146390630400).

116060552800 is an abundant number, since it is smaller than the sum of its proper divisors (176720708000).

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

116060552800 is a wasteful number, since it uses less digits than its factorization.

116060552800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989 (or 4976 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 116060552800 in words is "one hundred sixteen billion, sixty million, five hundred fifty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 155 160 200 248 310 400 496 620 775 800 992 1240 1279 1550 2480 2558 3100 3659 4960 5116 6200 6395 7318 10232 12400 12790 14636 18295 20464 24800 25580 29272 31975 36590 39649 40928 51160 58544 63950 73180 79298 91475 102320 113429 117088 127900 146360 158596 182950 198245 204640 226858 255800 292720 317192 365900 396490 453716 511600 567145 585440 634384 731800 792980 907432 991225 1023200 1134290 1268768 1463600 1585960 1814864 1982450 2268580 2835725 2927200 3171920 3629728 3964900 4537160 4679861 5671450 6343840 7929800 9074320 9359722 11342900 15859600 18148640 18719444 22685800 23399305 31719200 37438888 45371600 46798610 74877776 90743200 93597220 116996525 145075691 149755552 187194440 233993050 290151382 374388880 467986100 580302764 725378455 748777760 935972200 1160605528 1450756910 1871944400 2321211056 2901513820 3626892275 3743888800 4642422112 5803027640 7253784550 11606055280 14507569100 23212110560 29015138200 58030276400 116060552800