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112250473920 = 26345131989197
BaseRepresentation
bin110100010001010100…
…1100100110111000000
3101201201221001220020000
41220202221210313000
53314342110131140
6123322301120000
711052446166624
oct1504251446700
9351657056200
10112250473920
1143672514512
1219908559000
13a77b821590
14560c03d184
152dbe984a30
hex1a22a64dc0

112250473920 has 1120 divisors, whose sum is σ = 460051099200. Its totient is φ = 25751126016.

The previous prime is 112250473903. The next prime is 112250473927. The reversal of 112250473920 is 29374052211.

112250473920 is a `hidden beast` number, since 1 + 1 + 225 + 0 + 47 + 392 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112250473927) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 569799262 + ... + 569799458.

It is an arithmetic number, because the mean of its divisors is an integer number (410759910).

Almost surely, 2112250473920 is an apocalyptic number.

112250473920 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 112250473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230025549600).

112250473920 is an abundant number, since it is smaller than the sum of its proper divisors (347800625280).

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

112250473920 is a wasteful number, since it uses less digits than its factorization.

112250473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 112250473920 in words is "one hundred twelve billion, two hundred fifty million, four hundred seventy-three thousand, nine hundred twenty".