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520142995872 = 2532172319723447
BaseRepresentation
bin1111001000110101111…
…00000100000110100000
31211201120122210220221200
413210122330010012200
532010223101331442
61034541141321200
752402425342003
oct7443274040640
91751518726850
10520142995872
11190656185425
1284982a06200
133a084341546
141b2644cd53a
15d7e41e834c
hex791af041a0

520142995872 has 288 divisors, whose sum is σ = 1642625816832. Its totient is φ = 155288297472.

The previous prime is 520142995861. The next prime is 520142995877. The reversal of 520142995872 is 278599241025.

520142995872 is a `hidden beast` number, since 5 + 20 + 14 + 29 + 9 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (520142995877) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22172053 + ... + 22195499.

It is an arithmetic number, because the mean of its divisors is an integer number (5703561864).

Almost surely, 2520142995872 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 520142995872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821312908416).

520142995872 is an abundant number, since it is smaller than the sum of its proper divisors (1122482820960).

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

520142995872 is a wasteful number, since it uses less digits than its factorization.

520142995872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23700 (or 23689 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 520142995872 in words is "five hundred twenty billion, one hundred forty-two million, nine hundred ninety-five thousand, eight hundred seventy-two".