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112217867604 = 22325972772673
BaseRepresentation
bin110100010000010110…
…1001100010101010100
3101201122122201022202200
41220200231030111110
53314310233230404
6123315134204500
711051602064523
oct1504055142524
9351578638680
10112217867604
1143656073947
12198b9653730
13a774b461bb
1456079924ba
152dbbb93839
hex1a20b4c554

112217867604 has 72 divisors (see below), whose sum is σ = 288870429120. Its totient is φ = 36720870912.

The previous prime is 112217867591. The next prime is 112217867609. The reversal of 112217867604 is 406768712211.

112217867604 is a `hidden beast` number, since 1 + 1 + 22 + 17 + 8 + 6 + 7 + 604 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 112217867604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112217867609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1507812 + ... + 1580484.

Almost surely, 2112217867604 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 112217867604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144435214560).

112217867604 is an abundant number, since it is smaller than the sum of its proper divisors (176652561516).

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

112217867604 is a wasteful number, since it uses less digits than its factorization.

112217867604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73469 (or 73464 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 112217867604 in words is "one hundred twelve billion, two hundred seventeen million, eight hundred sixty-seven thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 727 1062 1454 2124 2181 2908 4362 6543 8724 13086 26172 42893 72673 85786 128679 145346 171572 218019 257358 290692 386037 436038 514716 654057 772074 872076 1308114 1544148 2616228 4287707 8575414 12863121 17150828 25726242 38589363 51452484 52833271 77178726 105666542 154357452 158499813 211333084 316999626 475499439 633999252 950998878 1901997756 3117162989 6234325978 9351488967 12468651956 18702977934 28054466901 37405955868 56108933802 112217867604