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5064014592 = 28337138397
BaseRepresentation
bin1001011011101011…
…01011101100000000
3111001220211121002000
410231311223230000
540332341431332
62154255224000
7236330261640
oct45565535400
914056747060
105064014592
11216956012a
12b93b18000
136291b2c50
143607a6520
151e989db7c
hex12dd6bb00

5064014592 has 576 divisors, whose sum is σ = 18845352960. Its totient is φ = 1305870336.

The previous prime is 5064014563. The next prime is 5064014623. The reversal of 5064014592 is 2954104605.

5064014592 is a `hidden beast` number, since 5 + 0 + 64 + 0 + 1 + 4 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52206288 + ... + 52206384.

Almost surely, 25064014592 is an apocalyptic number.

5064014592 is a gapful number since it is divisible by the number (52) 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 5064014592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9422676480).

5064014592 is an abundant number, since it is smaller than the sum of its proper divisors (13781338368).

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

5064014592 is a wasteful number, since it uses less digits than its factorization.

5064014592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5064014592 is about 71161.8900254905. The cubic root of 5064014592 is about 1717.2425837964.

The spelling of 5064014592 in words is "five billion, sixty-four million, fourteen thousand, five hundred ninety-two".