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112156561404 = 22321910110091609
BaseRepresentation
bin110100001110100001…
…1010100111111111100
3101201111101100122110200
41220131003110333330
53314144034431104
6123305104203500
711050226020326
oct1503503247774
9351441318420
10112156561404
1143624500668
12198a1009590
13a76522c844
1455dd794616
152db65d3b39
hex1a1d0d4ffc

112156561404 has 144 divisors (see below), whose sum is σ = 301869204000. Its totient is φ = 35010662400.

The previous prime is 112156561397. The next prime is 112156561417. The reversal of 112156561404 is 404165651211.

112156561404 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 56 + 561 + 40 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69704952 + ... + 69706560.

Almost surely, 2112156561404 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 112156561404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150934602000).

112156561404 is an abundant number, since it is smaller than the sum of its proper divisors (189712642596).

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

112156561404 is a wasteful number, since it uses less digits than its factorization.

112156561404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 112156561404 in words is "one hundred twelve billion, one hundred fifty-six million, five hundred sixty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 101 114 171 202 228 303 342 404 606 684 909 1009 1212 1609 1818 1919 2018 3027 3218 3636 3838 4036 4827 5757 6054 6436 7676 9081 9654 11514 12108 14481 17271 18162 19171 19308 23028 28962 30571 34542 36324 38342 57513 57924 61142 69084 76684 91713 101909 115026 122284 162509 172539 183426 203818 230052 275139 305727 325018 345078 366852 407636 487527 550278 611454 650036 690156 917181 975054 1100556 1222908 1462581 1623481 1834362 1936271 1950108 2925162 3087671 3246962 3668724 3872542 4870443 5808813 5850324 6175342 6493924 7745084 9263013 9740886 11617626 12350684 14611329 17426439 18526026 19481772 23235252 27789039 29222658 30846139 34852878 37052052 55578078 58445316 61692278 69705756 92538417 111156156 123384556 163971581 185076834 277615251 327943162 370153668 491914743 555230502 655886324 983829486 1110461004 1475744229 1967658972 2951488458 3115460039 5902976916 6230920078 9346380117 12461840156 18692760234 28039140351 37385520468 56078280702 112156561404