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4290665904 = 243471743647
BaseRepresentation
bin1111111110111110…
…0101110110110000
3102002000122102010000
43333233211312300
532241402302104
61545431510000
7211220026020
oct37757456660
912060572100
104290665904
111901a72888
129b8b28300
13534c01a85
142c9bb7a80
151a1a3d639
hexffbe5db0

4290665904 has 400 divisors, whose sum is σ = 15400585728. Its totient is φ = 1125218304.

The previous prime is 4290665879. The next prime is 4290665927. The reversal of 4290665904 is 4095660924.

It is a self number, because there is not a number n which added to its sum of digits gives 4290665904.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6631309 + ... + 6631955.

Almost surely, 24290665904 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 4290665904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7700292864).

4290665904 is an abundant number, since it is smaller than the sum of its proper divisors (11109919824).

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

4290665904 is a wasteful number, since it uses less digits than its factorization.

4290665904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 719 counting only the distinct ones).

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

The square root of 4290665904 is about 65503.1747627548. The cubic root of 4290665904 is about 1624.9558525600.

The spelling of 4290665904 in words is "four billion, two hundred ninety million, six hundred sixty-five thousand, nine hundred four".