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112372537320 = 233252940926317
BaseRepresentation
bin110100010100111101…
…1001101011111101000
3101202001102202100201200
41220221323031133220
53320114332143240
6123342341244200
711055460543611
oct1505173153750
9352042670650
10112372537320
114372540555a
1219941403660
13a79abbb744
145620334c08
152dca546930
hex1a29ecd7e8

112372537320 has 192 divisors, whose sum is σ = 378742338000. Its totient is φ = 28860862464.

The previous prime is 112372537307. The next prime is 112372537357. The reversal of 112372537320 is 23735273211.

112372537320 is a `hidden beast` number, since 1 + 1 + 23 + 72 + 537 + 32 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 83904074244 + 28468463076 = 289662^2 + 168726^2 .

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

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, 4256802 + ... + 4283118.

Almost surely, 2112372537320 is an apocalyptic number.

112372537320 is a gapful number since it is divisible by the number (10) 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 112372537320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189371169000).

112372537320 is an abundant number, since it is smaller than the sum of its proper divisors (266369800680).

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

112372537320 is a wasteful number, since it uses less digits than its factorization.

112372537320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26772 (or 26765 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 112372537320 in words is "one hundred twelve billion, three hundred seventy-two million, five hundred thirty-seven thousand, three hundred twenty".