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118716080704 = 2613233132
BaseRepresentation
bin110111010010000000…
…1111010001001000000
3102100102112020202022221
41232210001322021000
53421112304040304
6130312025340424
711401616015314
oct1564401721100
9370375222287
10118716080704
11463901505a1
121b011937714
13b26c1bc900
145a62a0db44
15314c3e0054
hex1ba407a240

118716080704 has 63 divisors (see below), whose sum is σ = 255169516203. Its totient is φ = 54775498752.

The previous prime is 118716080701. The next prime is 118716080719. The reversal of 118716080704 is 407080617811.

The square root of 118716080704 is 344552.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1587863104 + 117128217600 = 39848^2 + 342240^2 .

It is a super-2 number, since 2×1187160807042 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (118716080701) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35831752 + ... + 35835064.

It is an arithmetic number, because the mean of its divisors is an integer number (4050309781).

Almost surely, 2118716080704 is an apocalyptic number.

118716080704 is the 344552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118716080704

118716080704 is an abundant number, since it is smaller than the sum of its proper divisors (136453435499).

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

118716080704 is an frugal number, since it uses more digits than its factorization.

118716080704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6664 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 43.

The spelling of 118716080704 in words is "one hundred eighteen billion, seven hundred sixteen million, eighty thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 3313 5408 6626 10816 13252 26504 43069 53008 86138 106016 172276 212032 344552 559897 689104 1119794 1378208 2239588 2756416 4479176 8958352 10975969 17916704 21951938 35833408 43903876 87807752 142687597 175615504 285375194 351231008 570750388 702462016 1141500776 1854938761 2283001552 3709877522 4566003104 7419755044 9132006208 14839510088 29679020176 59358040352 118716080704