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116914616064 = 2832331915289
BaseRepresentation
bin110110011100010100…
…1110111011100000000
3102011202222110212102100
41230320221313130000
53403420120203224
6125413153550400
711306152560651
oct1547051673400
9364688425370
10116914616064
1145646286544
121a7aa575400
13b042c08cbc
145931675528
153094197ac9
hex1b38a77700

116914616064 has 108 divisors (see below), whose sum is σ = 337217280400. Its totient is φ = 38957248512.

The previous prime is 116914616051. The next prime is 116914616083. The reversal of 116914616064 is 460616419611.

116914616064 is a `hidden beast` number, since 1 + 16 + 9 + 14 + 616 + 0 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7639332 + ... + 7654620.

Almost surely, 2116914616064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116914616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168608640200).

116914616064 is an abundant number, since it is smaller than the sum of its proper divisors (220302664336).

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

116914616064 is a wasteful number, since it uses less digits than its factorization.

116914616064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18630 (or 18613 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 116914616064 in words is "one hundred sixteen billion, nine hundred fourteen million, six hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 3319 6638 9957 13276 15289 19914 26552 29871 30578 39828 45867 53104 59742 61156 79656 91734 106208 119484 122312 137601 159312 183468 212416 238968 244624 275202 318624 366936 424832 477936 489248 550404 637248 733872 849664 955872 978496 1100808 1274496 1467744 1911744 1956992 2201616 2548992 2935488 3823488 3913984 4403232 5870976 7646976 8806464 11741952 17612928 35225856 50744191 101488382 152232573 202976764 304465146 405953528 456697719 608930292 811907056 913395438 1217860584 1623814112 1826790876 2435721168 3247628224 3653581752 4871442336 6495256448 7307163504 9742884672 12990512896 14614327008 19485769344 29228654016 38971538688 58457308032 116914616064