Search a number
-
+
113759976456 = 23327967233417
BaseRepresentation
bin110100111110010011…
…1110111110000001000
3101212122010110120102100
41221330213313300020
53330440023221311
6124132143033400
711135035562640
oct1517447676010
9355563416370
10113759976456
11442775a5075
121a069b9b860
13a95c48cb49
1457126d7520
152e5c259a56
hex1a7c9f7c08

113759976456 has 96 divisors (see below), whose sum is σ = 352479853440. Its totient is φ = 32469099264.

The previous prime is 113759976391. The next prime is 113759976509. The reversal of 113759976456 is 654679957311.

It is a happy number.

113759976456 is a `hidden beast` number, since 1 + 1 + 37 + 599 + 7 + 6 + 4 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 113759976393 and 113759976402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370660 + ... + 604076.

It is an arithmetic number, because the mean of its divisors is an integer number (3671665140).

Almost surely, 2113759976456 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 113759976456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176239926720).

113759976456 is an abundant number, since it is smaller than the sum of its proper divisors (238719876984).

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

113759976456 is a wasteful number, since it uses less digits than its factorization.

113759976456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234403 (or 234396 counting only the distinct ones).

The product of its digits is 42865200, while the sum is 63.

The spelling of 113759976456 in words is "one hundred thirteen billion, seven hundred fifty-nine million, nine hundred seventy-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 967 1934 2901 3868 5802 6769 7736 8703 11604 13538 17406 20307 23208 27076 34812 40614 54152 60921 69624 81228 121842 162456 233417 243684 466834 487368 700251 933668 1400502 1633919 1867336 2100753 2801004 3267838 4201506 4901757 5602008 6535676 8403012 9803514 13071352 14705271 16806024 19607028 29410542 39214056 58821084 117642168 225714239 451428478 677142717 902856956 1354285434 1579999673 1805713912 2031428151 2708570868 3159999346 4062856302 4739999019 5417141736 6319998692 8125712604 9479998038 12639997384 14219997057 16251425208 18959996076 28439994114 37919992152 56879988228 113759976456