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3990411264 = 21137314173
BaseRepresentation
bin1110110111011000…
…1101100000000000
3101022002122220011210
43231312031200000
531133021130024
61455544210120
7200612636040
oct35566154000
911262586153
103990411264
111768535054
12934469940
134b79450c8
1429bd79720
151854ce129
hexedd8d800

3990411264 has 384 divisors, whose sum is σ = 13032714240. Its totient is φ = 1061683200.

The previous prime is 3990411199. The next prime is 3990411307. The reversal of 3990411264 is 4621140993.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54663132 + ... + 54663204.

It is an arithmetic number, because the mean of its divisors is an integer number (33939360).

Almost surely, 23990411264 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 3990411264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6516357120).

3990411264 is an abundant number, since it is smaller than the sum of its proper divisors (9042302976).

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

3990411264 is a wasteful number, since it uses less digits than its factorization.

3990411264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 3990411264 is about 63169.7021047274. The cubic root of 3990411264 is about 1586.1316062611.

The spelling of 3990411264 in words is "three billion, nine hundred ninety million, four hundred eleven thousand, two hundred sixty-four".