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5121392640 = 21435713229
BaseRepresentation
bin1001100010100001…
…00100000000000000
3111012220210200221220
410301100210000000
540442034031030
62204105115040
7240625055610
oct46120440000
914186720856
105121392640
112198990101
12bab188a80
13638052660
14368260a40
151ee934a10
hex131424000

5121392640 has 480 divisors, whose sum is σ = 20257870080. Its totient is φ = 1075838976.

The previous prime is 5121392611. The next prime is 5121392651. The reversal of 5121392640 is 462931215.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22364046 + ... + 22364274.

It is an arithmetic number, because the mean of its divisors is an integer number (42203896).

Almost surely, 25121392640 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 5121392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10128935040).

5121392640 is an abundant number, since it is smaller than the sum of its proper divisors (15136477440).

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

5121392640 is a wasteful number, since it uses less digits than its factorization.

5121392640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 5121392640 is about 71563.9059861883. The cubic root of 5121392640 is about 1723.7040061888.

The spelling of 5121392640 in words is "five billion, one hundred twenty-one million, three hundred ninety-two thousand, six hundred forty".