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113384050704 = 243219193214723
BaseRepresentation
bin110100110011000110…
…1110101000000010000
3101211122221002120020100
41221212031311000100
53324202304110304
6124030553412400
711122522346331
oct1514615650020
9354587076210
10113384050704
11440a4382531
1219b8410a100
13a8cc62a282
1456b87dc288
152e3924e439
hex1a66375010

113384050704 has 120 divisors (see below), whose sum is σ = 335751035360. Its totient is φ = 35619803136.

The previous prime is 113384050687. The next prime is 113384050733. The reversal of 113384050704 is 407050483311.

It is a happy number.

113384050704 is a `hidden beast` number, since 113 + 38 + 4 + 0 + 507 + 0 + 4 = 666.

113384050704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 420687 + ... + 635409.

Almost surely, 2113384050704 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 113384050704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167875517680).

113384050704 is an abundant number, since it is smaller than the sum of its proper divisors (222366984656).

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

113384050704 is a wasteful number, since it uses less digits than its factorization.

113384050704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214949 (or 214940 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 113384050704 in words is "one hundred thirteen billion, three hundred eighty-four million, fifty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 193 228 304 342 386 456 579 684 772 912 1158 1368 1544 1737 2316 2736 3088 3474 3667 4632 6948 7334 9264 11001 13896 14668 22002 27792 29336 33003 44004 58672 66006 88008 132012 176016 214723 264024 429446 528048 644169 858892 1288338 1717784 1932507 2576676 3435568 3865014 4079737 5153352 7730028 8159474 10306704 12239211 15460056 16318948 24478422 30920112 32637896 36717633 41441539 48956844 65275792 73435266 82883078 97913688 124324617 146870532 165766156 195827376 248649234 293741064 331532312 372973851 497298468 587482128 663064624 745947702 787389241 994596936 1491895404 1574778482 1989193872 2362167723 2983790808 3149556964 4724335446 5967581616 6299113928 7086503169 9448670892 12598227856 14173006338 18897341784 28346012676 37794683568 56692025352 113384050704