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3946531680 = 2533571310039
BaseRepresentation
bin1110101100111011…
…0100101101100000
3101012001002120201000
43223032310231200
531040303003210
61451335512000
7166540652160
oct35316645540
911161076630
103946531680
111745794733
12921828600
134ab820760
142961d65a0
15181712ac0
hexeb3b4b60

3946531680 has 384 divisors, whose sum is σ = 17002137600. Its totient is φ = 832591872.

The previous prime is 3946531669. The next prime is 3946531681. The reversal of 3946531680 is 861356493.

3946531680 is a `hidden beast` number, since 39 + 4 + 6 + 531 + 6 + 80 = 666.

It is a super-2 number, since 2×39465316802 = 31150224602487244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3946531681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 388101 + ... + 398139.

It is an arithmetic number, because the mean of its divisors is an integer number (44276400).

Almost surely, 23946531680 is an apocalyptic number.

3946531680 is a gapful number since it is divisible by the number (30) 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 3946531680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8501068800).

3946531680 is an abundant number, since it is smaller than the sum of its proper divisors (13055605920).

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

3946531680 is a wasteful number, since it uses less digits than its factorization.

3946531680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10083 (or 10069 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3946531680 is about 62821.4269178916. The cubic root of 3946531680 is about 1580.2963285467.

The spelling of 3946531680 in words is "three billion, nine hundred forty-six million, five hundred thirty-one thousand, six hundred eighty".