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2136895992 = 2334711113379
BaseRepresentation
bin111111101011110…
…0111000111111000
312111220221120020000
41333113213013320
513334021132432
6552013033000
7103645213320
oct17727470770
95456846200
102136895992
119a7249650
124b7785760
132809388ca
14163b32280
15c790457c
hex7f5e71f8

2136895992 has 320 divisors, whose sum is σ = 7548076800. Its totient is φ = 548674560.

The previous prime is 2136895991. The next prime is 2136896011. The reversal of 2136895992 is 2995986312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136895991) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5638059 + ... + 5638437.

It is an arithmetic number, because the mean of its divisors is an integer number (23587740).

Almost surely, 22136895992 is an apocalyptic number.

2136895992 is a gapful number since it is divisible by the number (22) 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 2136895992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774038400).

2136895992 is an abundant number, since it is smaller than the sum of its proper divisors (5411180808).

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

2136895992 is a wasteful number, since it uses less digits than its factorization.

2136895992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 515 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 2136895992 is about 46226.5723583309. The cubic root of 2136895992 is about 1288.0353870015.

The spelling of 2136895992 in words is "two billion, one hundred thirty-six million, eight hundred ninety-five thousand, nine hundred ninety-two".