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5881006656 = 263273172103
BaseRepresentation
bin1010111101000100…
…10000101001000000
3120011212011002111100
411132202100221000
544021014203111
62411322214400
7265510506000
oct53642205100
916155132440
105881006656
112548747388
121181654400
137295350c5
143db0b6000
15246480756
hex15e890a40

5881006656 has 504 divisors, whose sum is σ = 21085251200. Its totient is φ = 1566093312.

The previous prime is 5881006633. The next prime is 5881006679. The reversal of 5881006656 is 6566001885.

5881006656 is a `hidden beast` number, since 588 + 1 + 0 + 0 + 6 + 65 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5881006633) and next prime (5881006679).

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57097101 + ... + 57097203.

Almost surely, 25881006656 is an apocalyptic number.

5881006656 is a gapful number since it is divisible by the number (56) 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 5881006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10542625600).

5881006656 is an abundant number, since it is smaller than the sum of its proper divisors (15204244544).

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

5881006656 is a wasteful number, since it uses less digits than its factorization.

5881006656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5881006656 is about 76687.7216769412. The cubic root of 5881006656 is about 1805.0277803087.

The spelling of 5881006656 in words is "five billion, eight hundred eighty-one million, six thousand, six hundred fifty-six".