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111379717696 = 2613232092
BaseRepresentation
bin110011110111010111…
…1111001111001000000
3101122111020120220020111
41213232233321321000
53311101201431241
6123100033521104
711022043660012
oct1475657717100
9348436526214
10111379717696
1143265a46475
1219704a13194
13a6702c6900
1455685361b2
152d6d2d2c81
hex19eebf9e40

111379717696 has 63 divisors (see below), whose sum is σ = 239403007731. Its totient is φ = 51390004224.

The previous prime is 111379717679. The next prime is 111379717723. The reversal of 111379717696 is 696717973111.

The square root of 111379717696 is 333736.

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 11483265600 + 99896452096 = 107160^2 + 316064^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 111379717696.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34706940 + ... + 34710148.

Almost surely, 2111379717696 is an apocalyptic number.

111379717696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

111379717696 is the 333736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111379717696

111379717696 is an abundant number, since it is smaller than the sum of its proper divisors (128023290035).

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

111379717696 is an frugal number, since it uses more digits than its factorization.

111379717696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6456 (or 3224 counting only the distinct ones).

The product of its digits is 3000564, while the sum is 58.

The spelling of 111379717696 in words is "one hundred eleven billion, three hundred seventy-nine million, seven hundred seventeen thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 3209 5408 6418 10816 12836 25672 41717 51344 83434 102688 166868 205376 333736 542321 667472 1084642 1334944 2169284 2669888 4338568 8677136 10297681 17354272 20595362 34708544 41190724 82381448 133869853 164762896 267739706 329525792 535479412 659051584 1070958824 1740308089 2141917648 3480616178 4283835296 6961232356 8567670592 13922464712 27844929424 55689858848 111379717696