Search a number
-
+
113550035456 = 2911132953479
BaseRepresentation
bin110100111000000011…
…1000000101000000000
3101212002111102110111202
41221300013000220000
53330022302113311
6124055243200332
711126606243024
oct1516007005000
9355074373452
10113550035456
114417a042310
121a00b8160a8
13a927b34ac0
1456d2888384
152e48ad9e3b
hex1a701c0a00

113550035456 has 160 divisors (see below), whose sum is σ = 275738601600. Its totient is φ = 45999636480.

The previous prime is 113550035437. The next prime is 113550035461. The reversal of 113550035456 is 654530055311.

It is a super-2 number, since 2×1135500354562 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2096525 + ... + 2150003.

It is an arithmetic number, because the mean of its divisors is an integer number (1723366260).

Almost surely, 2113550035456 is an apocalyptic number.

113550035456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113550035456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137869300800).

113550035456 is an abundant number, since it is smaller than the sum of its proper divisors (162188566144).

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

113550035456 is a wasteful number, since it uses less digits than its factorization.

113550035456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53550 (or 53534 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 38.

The spelling of 113550035456 in words is "one hundred thirteen billion, five hundred fifty million, thirty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 29 32 44 52 58 64 88 104 116 128 143 176 208 232 256 286 319 352 377 416 464 512 572 638 704 754 832 928 1144 1276 1408 1508 1664 1856 2288 2552 2816 3016 3328 3712 4147 4576 5104 5632 6032 6656 7424 8294 9152 10208 12064 14848 16588 18304 20416 24128 33176 36608 40832 48256 53479 66352 73216 81664 96512 106958 132704 163328 193024 213916 265408 427832 530816 588269 695227 855664 1061632 1176538 1390454 1550891 1711328 2123264 2353076 2780908 3101782 3422656 4706152 5561816 6203564 6845312 7647497 9412304 11123632 12407128 13690624 15294994 17059801 18824608 20161583 22247264 24814256 27381248 30589988 34119602 37649216 40323166 44494528 49628512 61179976 68239204 75298432 80646332 88989056 99257024 122359952 136478408 150596864 161292664 177978112 198514048 221777413 244719904 272956816 301193728 322585328 355956224 397028096 443554826 489439808 545913632 645170656 794056192 887109652 978879616 1091827264 1290341312 1774219304 1957759232 2183654528 2580682624 3548438608 3915518464 4367309056 5161365248 7096877216 8734618112 10322730496 14193754432 28387508864 56775017728 113550035456