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2139158736 = 24321113261131
BaseRepresentation
bin111111110000000…
…1111100011010000
312112002012112010100
41333200033203100
513340111034421
6552133332400
7104003356251
oct17740174320
95462175110
102139158736
119a8554690
124b8497100
1328124b800
14164160b28
15c7beec26
hex7f80f8d0

2139158736 has 360 divisors, whose sum is σ = 7242741792. Its totient is φ = 584064000.

The previous prime is 2139158731. The next prime is 2139158741. The reversal of 2139158736 is 6378519312.

2139158736 is a `hidden beast` number, since 2 + 1 + 39 + 1 + 587 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (2139158731) and next prime (2139158741).

Its product of digits (272160) is a multiple of the sum of its prime factors (243).

It is a junction number, because it is equal to n+sod(n) for n = 2139158691 and 2139158700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139158731) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16329391 + ... + 16329521.

Almost surely, 22139158736 is an apocalyptic number.

2139158736 is a gapful number since it is divisible by the number (26) 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 2139158736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621370896).

2139158736 is an abundant number, since it is smaller than the sum of its proper divisors (5103583056).

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

2139158736 is a wasteful number, since it uses less digits than its factorization.

2139158736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 221 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 2139158736 is about 46251.0403774877. The cubic root of 2139158736 is about 1288.4898571374.

The spelling of 2139158736 in words is "two billion, one hundred thirty-nine million, one hundred fifty-eight thousand, seven hundred thirty-six".