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112086083916 = 22325373979493
BaseRepresentation
bin110100001100011011…
…0011110100101001100
3101201022110202000112100
41220120312132211030
53314023014141131
6123254105435100
711045411664522
oct1503066364514
9351273660470
10112086083916
1143598743904
121988149ba90
13a7537548a1
1455d428a312
152db03117e6
hex1a18d9e94c

112086083916 has 72 divisors (see below), whose sum is σ = 289068801840. Its totient is φ = 36607019904.

The previous prime is 112086083873. The next prime is 112086083927. The reversal of 112086083916 is 619380680211.

112086083916 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 8 + 608 + 39 + 1 + 6 = 666.

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, 1370266 + ... + 1449758.

It is an arithmetic number, because the mean of its divisors is an integer number (4014844470).

Almost surely, 2112086083916 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 112086083916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144534400920).

112086083916 is an abundant number, since it is smaller than the sum of its proper divisors (176982717924).

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

112086083916 is a wasteful number, since it uses less digits than its factorization.

112086083916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80295 (or 80290 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 112086083916 in words is "one hundred twelve billion, eighty-six million, eighty-three thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 739 954 1478 1908 2217 2956 4434 6651 8868 13302 26604 39167 78334 79493 117501 156668 158986 235002 238479 317972 352503 470004 476958 705006 715437 953916 1410012 1430874 2861748 4213129 8426258 12639387 16852516 25278774 37918161 50557548 58745327 75836322 117490654 151672644 176235981 234981308 352471962 528707943 704943924 1057415886 2114831772 3113502331 6227004662 9340506993 12454009324 18681013986 28021520979 37362027972 56043041958 112086083916