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3945155136 = 2631319412029
BaseRepresentation
bin1110101100100110…
…0100101001000000
3101011221111122102220
43223021210221000
531034424431021
61451250211040
7166523160006
oct35311445100
911157448386
103945155136
111744a3449a
12921283a80
134ab45b030
14295d58a76
1518153ecc6
hexeb264a40

3945155136 has 224 divisors, whose sum is σ = 12127382400. Its totient is φ = 1121402880.

The previous prime is 3945155119. The next prime is 3945155141. The reversal of 3945155136 is 6315515493.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1943370 + ... + 1945398.

It is an arithmetic number, because the mean of its divisors is an integer number (54140100).

Almost surely, 23945155136 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 3945155136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6063691200).

3945155136 is an abundant number, since it is smaller than the sum of its proper divisors (8182227264).

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

3945155136 is a wasteful number, since it uses less digits than its factorization.

3945155136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2107 counting only the distinct ones).

The product of its digits is 243000, while the sum is 42.

The square root of 3945155136 is about 62810.4699552551. The cubic root of 3945155136 is about 1580.1125722281.

The spelling of 3945155136 in words is "three billion, nine hundred forty-five million, one hundred fifty-five thousand, one hundred thirty-six".