Search a number
-
+
112826059456 = 2611521307609
BaseRepresentation
bin110100100010011110…
…1010000101011000000
3101210020001010200010211
41221010331100223000
53322031432400311
6123455342003504
711102635452565
oct1510475205300
9353201120124
10112826059456
1143938407440
1219a49276594
13a840b4c636
14566466c86c
152e0527d821
hex1a44f50ac0

112826059456 has 56 divisors (see below), whose sum is σ = 244712368080. Its totient is φ = 51185971200.

The previous prime is 112826059453. The next prime is 112826059457. The reversal of 112826059456 is 654950628211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (112826059453) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212980 + ... + 520588.

Almost surely, 2112826059456 is an apocalyptic number.

112826059456 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 112826059456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122356184040).

112826059456 is an abundant number, since it is smaller than the sum of its proper divisors (131886308624).

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

112826059456 is a wasteful number, since it uses less digits than its factorization.

112826059456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308153 (or 308143 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

The spelling of 112826059456 in words is "one hundred twelve billion, eight hundred twenty-six million, fifty-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 521 704 1042 2084 4168 5731 8336 11462 16672 22924 33344 45848 91696 183392 307609 366784 615218 1230436 2460872 3383699 4921744 6767398 9843488 13534796 19686976 27069592 54139184 108278368 160264289 216556736 320528578 641057156 1282114312 1762907179 2564228624 3525814358 5128457248 7051628716 10256914496 14103257432 28206514864 56413029728 112826059456