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2320374957264 = 2433713974671303
BaseRepresentation
bin100001110001000001001…
…000000000010011010000
322012211021220211221122000
4201301001020000103100
5301004111442113024
64533544320114000
7326433024465240
oct41610110002320
98184256757560
102320374957264
1181507a198041
12315854a65900
1313aa6c6516c0
14804419ddb20
15405592c0cc9
hex21c412004d0

2320374957264 has 640 divisors, whose sum is σ = 8305948385280. Its totient is φ = 603897348096.

The previous prime is 2320374957253. The next prime is 2320374957319. The reversal of 2320374957264 is 4627594730232.

It is a happy number.

2320374957264 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 3 + 7 + 4 + 9 + 572 + 64 = 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 2320374957264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1780793637 + ... + 1780794939.

It is an arithmetic number, because the mean of its divisors is an integer number (12978044352).

Almost surely, 22320374957264 is an apocalyptic number.

2320374957264 is a gapful number since it is divisible by the number (24) 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 2320374957264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152974192640).

2320374957264 is an abundant number, since it is smaller than the sum of its proper divisors (5985573428016).

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

2320374957264 is a wasteful number, since it uses less digits than its factorization.

2320374957264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 2320374957264 in words is "two trillion, three hundred twenty billion, three hundred seventy-four million, nine hundred fifty-seven thousand, two hundred sixty-four".