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5232263872464 = 2433177316758441
BaseRepresentation
bin100110000100011101100…
…1110101011111111010000
3200112012101110120100111000
41030020323032223333100
51141211134022404324
615043400245222000
71050006243050226
oct114107316537720
920465343510430
105232263872464
111737a99607672
1270606a701900
132bc5287b1625
14141358818b16
15911834069c9
hex4c23b3abfd0

5232263872464 has 320 divisors, whose sum is σ = 16216617070080. Its totient is φ = 1609286123520.

The previous prime is 5232263872403. The next prime is 5232263872471. The reversal of 5232263872464 is 4642783622325.

5232263872464 is a `hidden beast` number, since 5 + 23 + 22 + 63 + 87 + 2 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5232263872464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89501484 + ... + 89559924.

It is an arithmetic number, because the mean of its divisors is an integer number (50676928344).

Almost surely, 25232263872464 is an apocalyptic number.

5232263872464 is a gapful number since it is divisible by the number (54) 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 5232263872464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8108308535040).

5232263872464 is an abundant number, since it is smaller than the sum of its proper divisors (10984353197616).

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

5232263872464 is a wasteful number, since it uses less digits than its factorization.

5232263872464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58715 (or 58703 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 54.

The spelling of 5232263872464 in words is "five trillion, two hundred thirty-two billion, two hundred sixty-three million, eight hundred seventy-two thousand, four hundred sixty-four".