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5275766496 = 25372112132331
BaseRepresentation
bin1001110100111010…
…11100111011100000
3111121200021201002010
410322131130323200
541301044011441
62231301552520
7244511163300
oct47235347340
914550251063
105275766496
11226803a500
121032a15740
13661023330
14380967600
1520d27a116
hex13a75cee0

5275766496 has 864 divisors, whose sum is σ = 20540749824. Its totient is φ = 1170892800.

The previous prime is 5275766479. The next prime is 5275766549. The reversal of 5275766496 is 6946675725.

It is a super-2 number, since 2×52757664962 = 55667424240632236032, which contains 22 as substring.

Its product of digits (19051200) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 170186001 + ... + 170186031.

It is an arithmetic number, because the mean of its divisors is an integer number (23774016).

Almost surely, 25275766496 is an apocalyptic number.

5275766496 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 5275766496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10270374912).

5275766496 is an abundant number, since it is smaller than the sum of its proper divisors (15264983328).

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

5275766496 is a wasteful number, since it uses less digits than its factorization.

5275766496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 90 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 57.

The square root of 5275766496 is about 72634.4718160737. The cubic root of 5275766496 is about 1740.8520176604.

The spelling of 5275766496 in words is "five billion, two hundred seventy-five million, seven hundred sixty-six thousand, four hundred ninety-six".