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525393296896 = 29131941107947
BaseRepresentation
bin1111010010100111110…
…00010111111000000000
31212020010120011211222011
413221103320113320000
532102001141000041
61041210133422304
752646510224036
oct7512370277000
91766116154864
10525393296896
111928aa901286
12859a919a994
133a70ccb9840
141b601908556
15da000e2e81
hex7a53e17e00

525393296896 has 320 divisors, whose sum is σ = 1231728664320. Its totient is φ = 221794467840.

The previous prime is 525393296893. The next prime is 525393296899. The reversal of 525393296896 is 698692393525.

It is an interprime number because it is at equal distance from previous prime (525393296893) and next prime (525393296899).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525393296893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 554797095 + ... + 554798041.

It is an arithmetic number, because the mean of its divisors is an integer number (3849152076).

Almost surely, 2525393296896 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 525393296896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615864332160).

525393296896 is an abundant number, since it is smaller than the sum of its proper divisors (706335367424).

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

525393296896 is a wasteful number, since it uses less digits than its factorization.

525393296896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1129 counting only the distinct ones).

The product of its digits is 188956800, while the sum is 67.

The spelling of 525393296896 in words is "five hundred twenty-five billion, three hundred ninety-three million, two hundred ninety-six thousand, eight hundred ninety-six".