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252324796230528 = 273717296723312197
BaseRepresentation
bin111001010111110011110001…
…110110001110101110000000
31020002102000101220001020001220
4321113303301312032232000
5231033042140313334103
62252352224450155040
7104101602446663550
oct7127636166165600
91202360356036056
10252324796230528
117344238841851a
122437229b882a80
13aaa4184304378
14464482a0c3160
151e2883120bc53
hexe57cf1d8eb80

252324796230528 has 1024 divisors, whose sum is σ = 855258339686400. Its totient is φ = 64252283977728.

The previous prime is 252324796230497. The next prime is 252324796230547. The reversal of 252324796230528 is 825032697423252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20687441326 + ... + 20687453522.

It is an arithmetic number, because the mean of its divisors is an integer number (835213222350).

Almost surely, 2252324796230528 is an apocalyptic number.

252324796230528 is a gapful number since it is divisible by the number (28) 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 252324796230528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427629169843200).

252324796230528 is an abundant number, since it is smaller than the sum of its proper divisors (602933543455872).

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

252324796230528 is a wasteful number, since it uses less digits than its factorization.

252324796230528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12567 (or 12555 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 60.

The spelling of 252324796230528 in words is "two hundred fifty-two trillion, three hundred twenty-four billion, seven hundred ninety-six million, two hundred thirty thousand, five hundred twenty-eight".