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112074948000 = 2533531761043
BaseRepresentation
bin110100001100000101…
…1111111110110100000
3101201021200210020221000
41220120023333312200
53314012141314000
6123253031032000
711045215224351
oct1503013776640
9351250706830
10112074948000
1143592428274
121987980b600
13a751355ca2
1455d29cbd28
152dae362000
hex1a182ffda0

112074948000 has 384 divisors, whose sum is σ = 431957111040. Its totient is φ = 28128153600.

The previous prime is 112074947947. The next prime is 112074948019. The reversal of 112074948000 is 849470211.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1805479 + ... + 1866521.

It is an arithmetic number, because the mean of its divisors is an integer number (1124888310).

Almost surely, 2112074948000 is an apocalyptic number.

112074948000 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 112074948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215978555520).

112074948000 is an abundant number, since it is smaller than the sum of its proper divisors (319882163040).

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

112074948000 is a wasteful number, since it uses less digits than its factorization.

112074948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61094 (or 61070 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 112074948000 in words is "one hundred twelve billion, seventy-four million, nine hundred forty-eight thousand".