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116734416360 = 23357957721341
BaseRepresentation
bin110110010110111101…
…0011101010111101000
3102011022102101202220020
41230231322131113220
53403033002310420
6125343235400440
711301534111252
oct1545572352750
9364272352806
10116734416360
1145563597871
121a75a153120
13b014795263
145915768cd2
153083450340
hex1b2de9d5e8

116734416360 has 128 divisors (see below), whose sum is σ = 355267468800. Its totient is φ = 30680432640.

The previous prime is 116734416349. The next prime is 116734416371. The reversal of 116734416360 is 63614437611.

It is an interprime number because it is at equal distance from previous prime (116734416349) and next prime (116734416371).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5459290 + ... + 5480630.

It is an arithmetic number, because the mean of its divisors is an integer number (2775527100).

Almost surely, 2116734416360 is an apocalyptic number.

116734416360 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 116734416360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177633734400).

116734416360 is an abundant number, since it is smaller than the sum of its proper divisors (238533052440).

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

116734416360 is a wasteful number, since it uses less digits than its factorization.

116734416360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22011 (or 22007 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 116734416360 in words is "one hundred sixteen billion, seven hundred thirty-four million, four hundred sixteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 577 632 790 948 1154 1185 1580 1731 1896 2308 2370 2885 3160 3462 4616 4740 5770 6924 8655 9480 11540 13848 17310 21341 23080 34620 42682 45583 64023 69240 85364 91166 106705 128046 136749 170728 182332 213410 227915 256092 273498 320115 364664 426820 455830 512184 546996 640230 683745 853640 911660 1093992 1280460 1367490 1685939 1823320 2560920 2734980 3371878 5057817 5469960 6743756 8429695 10115634 12313757 13487512 16859390 20231268 24627514 25289085 33718780 36941271 40462536 49255028 50578170 61568785 67437560 73882542 98510056 101156340 123137570 147765084 184706355 202312680 246275140 295530168 369412710 492550280 738825420 972786803 1477650840 1945573606 2918360409 3891147212 4863934015 5836720818 7782294424 9727868030 11673441636 14591802045 19455736060 23346883272 29183604090 38911472120 58367208180 116734416360