Search a number
-
+
113384615744 = 262922418741
BaseRepresentation
bin110100110011000111…
…1111110111101000000
3101211122222011021022202
41221212033332331000
53324202430200434
6124031013452332
711122530221561
oct1514617767500
9354588137282
10113384615744
11440a4729004
1219b843410a8
13a8cc79750a
1456b8908168
152e39311a7e
hex1a663fef40

113384615744 has 84 divisors (see below), whose sum is σ = 234017342988. Its totient is φ = 54504038400.

The previous prime is 113384615711. The next prime is 113384615761. The reversal of 113384615744 is 447516483311.

It can be written as a sum of positive squares in 6 ways, for example, as 25806400 + 113358809344 = 5080^2 + 336688^2 .

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, 12967214 + ... + 12975954.

Almost surely, 2113384615744 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 113384615744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117008671494).

113384615744 is an abundant number, since it is smaller than the sum of its proper divisors (120632727244).

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

113384615744 is an equidigital number, since it uses as much as digits as its factorization.

113384615744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9052 (or 9013 counting only the distinct ones).

The product of its digits is 967680, while the sum is 47.

The spelling of 113384615744 in words is "one hundred thirteen billion, three hundred eighty-four million, six hundred fifteen thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 241 464 482 841 928 964 1682 1856 1928 3364 3856 6728 6989 7712 8741 13456 13978 15424 17482 26912 27956 34964 53824 55912 69928 111824 139856 202681 223648 253489 279712 405362 447296 506978 559424 810724 1013956 1621448 2027912 2106581 3242896 4055824 4213162 6485792 7351181 8111648 8426324 12971584 14702362 16223296 16852648 29404724 33705296 58809448 61090849 67410592 117618896 122181698 134821184 235237792 244363396 470475584 488726792 977453584 1771634621 1954907168 3543269242 3909814336 7086538484 14173076968 28346153936 56692307872 113384615744