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3953930112 = 27341137937
BaseRepresentation
bin1110101110101100…
…0010111110000000
3101012120000110110000
43223223002332000
531044201230422
61452202240000
7166660565016
oct35353027600
911176013400
103953930112
111749988240
129241b6000
134b0211122
142971a08b6
151821c4cac
hexebac2f80

3953930112 has 320 divisors, whose sum is σ = 13197547440. Its totient is φ = 1164533760.

The previous prime is 3953930107. The next prime is 3953930117. The reversal of 3953930112 is 2110393593.

3953930112 is a `hidden beast` number, since 3 + 9 + 539 + 3 + 0 + 112 = 666.

3953930112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3953930107) and next prime (3953930117).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (3953930117) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4219308 + ... + 4220244.

Almost surely, 23953930112 is an apocalyptic number.

3953930112 is a gapful number since it is divisible by the number (32) 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 3953930112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6598773720).

3953930112 is an abundant number, since it is smaller than the sum of its proper divisors (9243617328).

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

3953930112 is a wasteful number, since it uses less digits than its factorization.

3953930112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 3953930112 is about 62880.2839688244. The cubic root of 3953930112 is about 1581.2832218030.

The spelling of 3953930112 in words is "three billion, nine hundred fifty-three million, nine hundred thirty thousand, one hundred twelve".