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2139892992 = 283541839
BaseRepresentation
bin111111110001100…
…0010110100000000
312112010120211100000
41333203002310000
513340303033432
6552201200000
7104012535036
oct17743026400
95463524300
102139892992
119a8a06306
124b8790000
13281447a93
141642b2556
15c7ce757c
hex7f8c2d00

2139892992 has 216 divisors, whose sum is σ = 6562221120. Its totient is φ = 695070720.

The previous prime is 2139892981. The next prime is 2139893011. The reversal of 2139892992 is 2992989312.

It is a tau number, because it is divible by the number of its divisors (216).

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

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 23 ways as a sum of consecutive naturals, for example, 2550109 + ... + 2550947.

Almost surely, 22139892992 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 2139892992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281110560).

2139892992 is an abundant number, since it is smaller than the sum of its proper divisors (4422328128).

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

2139892992 is an frugal number, since it uses more digits than its factorization.

2139892992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 885 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 2139892992 is about 46258.9774206045. The cubic root of 2139892992 is about 1288.6372629326.

The spelling of 2139892992 in words is "two billion, one hundred thirty-nine million, eight hundred ninety-two thousand, nine hundred ninety-two".