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2112388992 = 273271719811
BaseRepresentation
bin111110111101000…
…0111111110000000
312110012211110221100
41331322013332000
513311232421432
6545335454400
7103230003330
oct17572077600
95405743840
102112388992
1199443012a
124ab527400
13278837c1c
141607930c0
15c56b307c
hex7de87f80

2112388992 has 384 divisors, whose sum is σ = 7752326400. Its totient is φ = 537477120.

The previous prime is 2112388987. The next prime is 2112389051. The reversal of 2112388992 is 2998832112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 2604267 + ... + 2605077.

It is an arithmetic number, because the mean of its divisors is an integer number (20188350).

Almost surely, 22112388992 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 2112388992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3876163200).

2112388992 is an abundant number, since it is smaller than the sum of its proper divisors (5639937408).

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

2112388992 is a wasteful number, since it uses less digits than its factorization.

2112388992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 859 counting only the distinct ones).

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

The square root of 2112388992 is about 45960.7331534213. The cubic root of 2112388992 is about 1283.0924964302.

The spelling of 2112388992 in words is "two billion, one hundred twelve million, three hundred eighty-eight thousand, nine hundred ninety-two".