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3961810944 = 212327131181
BaseRepresentation
bin1110110000100100…
…0111000000000000
3101020002211211220200
43230021013000000
531103210422234
61453043205200
7200114560140
oct35411070000
911202754820
103961810944
111753380223
12926976800
134b1a40240
14298252920
15182c2ed99
hexec247000

3961810944 has 312 divisors, whose sum is σ = 14096645472. Its totient is φ = 1043988480.

The previous prime is 3961810907. The next prime is 3961810949. The reversal of 3961810944 is 4490181693.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×39618109442 = 31391891911996342272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3961810944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3961810949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3354034 + ... + 3355214.

It is an arithmetic number, because the mean of its divisors is an integer number (45181556).

Almost surely, 23961810944 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 3961810944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7048322736).

3961810944 is an abundant number, since it is smaller than the sum of its proper divisors (10134834528).

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

3961810944 is a wasteful number, since it uses less digits than its factorization.

3961810944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 3961810944 is about 62942.9181401689. The cubic root of 3961810944 is about 1582.3331102877. Note that the first 3 decimals are identical.

The spelling of 3961810944 in words is "three billion, nine hundred sixty-one million, eight hundred ten thousand, nine hundred forty-four".