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116716266288 = 24323197126927
BaseRepresentation
bin110110010110011010…
…1001110001100110000
3102011021011020122200100
41230230311032030300
53403013331010123
6125341350352400
711301223615506
oct1545465161460
9364234218610
10116716266288
1145554320406
121a75405b700
13b010aabb7b
1459131a2676
153081a67643
hex1b2cd4e330

116716266288 has 120 divisors (see below), whose sum is σ = 337540110336. Its totient is φ = 37610236800.

The previous prime is 116716266263. The next prime is 116716266311. The reversal of 116716266288 is 882662617611.

116716266288 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 1 + 6 + 2 + 6 + 628 + 8 = 666.

It is a super-2 number, since 2×1167162662882 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4321081 + ... + 4348007.

Almost surely, 2116716266288 is an apocalyptic number.

116716266288 is a gapful number since it is divisible by the number (18) 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 116716266288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168770055168).

116716266288 is an abundant number, since it is smaller than the sum of its proper divisors (220823844048).

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

116716266288 is a wasteful number, since it uses less digits than its factorization.

116716266288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27943 (or 27934 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 116716266288 in words is "one hundred sixteen billion, seven hundred sixteen million, two hundred sixty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 971 1116 1488 1942 2232 2913 3884 4464 5826 7768 8739 11652 15536 17478 23304 26927 30101 34956 46608 53854 60202 69912 80781 90303 107708 120404 139824 161562 180606 215416 240808 242343 270909 323124 361212 430832 481616 484686 541818 646248 722424 834737 969372 1083636 1292496 1444848 1669474 1938744 2167272 2504211 3338948 3877488 4334544 5008422 6677896 7512633 10016844 13355792 15025266 20033688 26146117 30050532 40067376 52292234 60101064 78438351 104584468 120202128 156876702 209168936 235315053 313753404 418337872 470630106 627506808 810529627 941260212 1255013616 1621059254 1882520424 2431588881 3242118508 3765040848 4863177762 6484237016 7294766643 9726355524 12968474032 14589533286 19452711048 29179066572 38905422096 58358133144 116716266288