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5088116736 = 2153771
BaseRepresentation
bin1001011110100011…
…01000000000000000
3111010121012010000000
410233101220000000
540410024213421
62200520000000
7240042164403
oct45721500000
914117163000
105088116736
11218112245a
12ba0000000
136311a1581
14363a7bd3a
151eba60226
hex12f468000

5088116736 has 256 divisors, whose sum is σ = 15476745600. Its totient is φ = 1672151040.

The previous prime is 5088116701. The next prime is 5088116743. The reversal of 5088116736 is 6376118805.

5088116736 is a `hidden beast` number, since 508 + 81 + 1 + 67 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 5088116691 and 5088116700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71663581 + ... + 71663651.

Almost surely, 25088116736 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 5088116736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7738372800).

5088116736 is an abundant number, since it is smaller than the sum of its proper divisors (10388628864).

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

5088116736 is an frugal number, since it uses more digits than its factorization.

5088116736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 5088116736 is about 71331.0362745418. The cubic root of 5088116736 is about 1719.9626745100.

The spelling of 5088116736 in words is "five billion, eighty-eight million, one hundred sixteen thousand, seven hundred thirty-six".