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5426910720 = 2932572111923
BaseRepresentation
bin1010000110111100…
…00001011000000000
3112000012200121222100
411003132001120000
542103242120340
62254301310400
7251324660100
oct50336013000
915005617870
105426910720
112335393390
121075565400
13686432c9a
14396a6d200
1521b683830
hex143781600

5426910720 has 1440 divisors, whose sum is σ = 26197966080. Its totient is φ = 1021870080.

The previous prime is 5426910703. The next prime is 5426910721. The reversal of 5426910720 is 270196245.

5426910720 is a `hidden beast` number, since 542 + 6 + 9 + 107 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5426910721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 235952629 + ... + 235952651.

It is an arithmetic number, because the mean of its divisors is an integer number (18193032).

Almost surely, 25426910720 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 5426910720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13098983040).

5426910720 is an abundant number, since it is smaller than the sum of its proper divisors (20771055360).

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

5426910720 is a wasteful number, since it uses less digits than its factorization.

5426910720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5426910720 is about 73667.5689839158. The cubic root of 5426910720 is about 1757.3201640858.

The spelling of 5426910720 in words is "five billion, four hundred twenty-six million, nine hundred ten thousand, seven hundred twenty".