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116951688324 = 223821112
BaseRepresentation
bin110110011101011011…
…1010010010010000100
3102011212120020100000000
41230322313102102010
53404004113011244
6125421000321300
711310112643232
oct1547267222204
9364776210000
10116951688324
11456651a7479
121a7baa73230
13b04a7b9053
145936565952
15309756c169
hex1b3add2484

116951688324 has 81 divisors (see below), whose sum is σ = 307128074071. Its totient is φ = 38965429080.

The previous prime is 116951688319. The next prime is 116951688397. The reversal of 116951688324 is 423886159611.

It is a happy number.

The square root of 116951688324 is 341982.

It is a perfect power (a square), and thus also a powerful number.

116951688324 is a `hidden beast` number, since 1 + 16 + 9 + 516 + 88 + 32 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55400029 + ... + 55402139.

Almost surely, 2116951688324 is an apocalyptic number.

116951688324 is the 341982-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116951688324

116951688324 is an abundant number, since it is smaller than the sum of its proper divisors (190176385747).

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

116951688324 is an frugal number, since it uses more digits than its factorization.

116951688324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4250 (or 2116 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 116951688324 in words is "one hundred sixteen billion, nine hundred fifty-one million, six hundred eighty-eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2111 2187 2916 4222 4374 6333 6561 8444 8748 12666 13122 18999 25332 26244 37998 56997 75996 113994 170991 227988 341982 512973 683964 1025946 1538919 2051892 3077838 4456321 4616757 6155676 8912642 9233514 13368963 13850271 17825284 18467028 26737926 27700542 40106889 53475852 55401084 80213778 120320667 160427556 240641334 360962001 481282668 721924002 1082886003 1443848004 2165772006 3248658009 4331544012 6497316018 9745974027 12994632036 19491948054 29237922081 38983896108 58475844162 116951688324