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5279573376 = 2732711531123
BaseRepresentation
bin1001110101010111…
…11110010110000000
3111121221110010010200
410322223332112000
541303032322001
62231515325200
7244555430130
oct47253762600
914557403120
105279573376
11226a1aa690
121034150800
13661a5701c
14381278ac0
1520d77d086
hex13aafe580

5279573376 has 384 divisors, whose sum is σ = 19315895040. Its totient is φ = 1344245760.

The previous prime is 5279573371. The next prime is 5279573393. The reversal of 5279573376 is 6733759725.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5279573371) 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 47 ways as a sum of consecutive naturals, for example, 4700751 + ... + 4701873.

It is an arithmetic number, because the mean of its divisors is an integer number (50301810).

Almost surely, 25279573376 is an apocalyptic number.

5279573376 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 5279573376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9657947520).

5279573376 is an abundant number, since it is smaller than the sum of its proper divisors (14036321664).

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

5279573376 is a wasteful number, since it uses less digits than its factorization.

5279573376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1199 counting only the distinct ones).

The product of its digits is 8334900, while the sum is 54.

The square root of 5279573376 is about 72660.6728292548. The cubic root of 5279573376 is about 1741.2706374858.

The spelling of 5279573376 in words is "five billion, two hundred seventy-nine million, five hundred seventy-three thousand, three hundred seventy-six".