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112119779152 = 24194723993271
BaseRepresentation
bin110100001101011011…
…1000000111101010000
3101201101211010220201001
41220122313000331100
53314110130413102
6123301311551344
711046301253413
oct1503267007520
9351354126631
10112119779152
1143605768607
121989082b554
13a75a7217b4
1455d893bb7a
152db326a487
hex1a1adc0f50

112119779152 has 80 divisors (see below), whose sum is σ = 233699328000. Its totient is φ = 51941831040.

The previous prime is 112119779147. The next prime is 112119779221. The reversal of 112119779152 is 251977911211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34275277 + ... + 34278547.

It is an arithmetic number, because the mean of its divisors is an integer number (2921241600).

Almost surely, 2112119779152 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 112119779152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116849664000).

112119779152 is an abundant number, since it is smaller than the sum of its proper divisors (121579548848).

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

112119779152 is a wasteful number, since it uses less digits than its factorization.

112119779152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5744 (or 5738 counting only the distinct ones).

The product of its digits is 79380, while the sum is 46.

The spelling of 112119779152 in words is "one hundred twelve billion, one hundred nineteen million, seven hundred seventy-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 38 47 76 94 152 188 304 376 752 893 1786 2399 3271 3572 4798 6542 7144 9596 13084 14288 19192 26168 38384 45581 52336 62149 91162 112753 124298 153737 182324 225506 248596 307474 364648 451012 497192 614948 729296 902024 994384 1229896 1804048 2142307 2459792 2921003 4284614 5842006 7847129 8569228 11684012 15694258 17138456 23368024 31388516 34276912 46736048 62777032 125554064 149095451 298190902 368815063 596381804 737630126 1192763608 1475260252 2385527216 2950520504 5901041008 7007486197 14014972394 28029944788 56059889576 112119779152