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523130564096 = 297192439403
BaseRepresentation
bin1111001110011010000…
…00101110111000000000
31212000021212110010002122
413213031000232320000
532032332411022341
61040153423303412
752536443266310
oct7471500567000
91760255403078
10523130564096
11191949624678
128547744ab68
133a43c2923aa
141b4691bb440
15d91b63394b
hex79cd02ee00

523130564096 has 240 divisors, whose sum is σ = 1290196600704. Its totient is φ = 207437303808.

The previous prime is 523130564093. The next prime is 523130564111. The reversal of 523130564096 is 690465031325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523130564093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55629731 + ... + 55639133.

Almost surely, 2523130564096 is an apocalyptic number.

523130564096 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 523130564096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645098300352).

523130564096 is an abundant number, since it is smaller than the sum of its proper divisors (767066036608).

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

523130564096 is an equidigital number, since it uses as much as digits as its factorization.

523130564096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9509 (or 9474 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 44.

The spelling of 523130564096 in words is "five hundred twenty-three billion, one hundred thirty million, five hundred sixty-four thousand, ninety-six".