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5326325760 = 211357173147
BaseRepresentation
bin1001111010111100…
…10100100000000000
3111202012102101100110
410331132110200000
541402014411020
62240305351320
7245664010350
oct47536244000
914665371313
105326325760
112293632418
121047938540
1366b646162
14387568b60
152129158e0
hex13d794800

5326325760 has 768 divisors, whose sum is σ = 21737963520. Its totient is φ = 1085276160.

The previous prime is 5326325731. The next prime is 5326325821. The reversal of 5326325760 is 675236235.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×53263257602 = 56739492203279155200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113326057 + ... + 113326103.

It is an arithmetic number, because the mean of its divisors is an integer number (28304640).

Almost surely, 25326325760 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 5326325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10868981760).

5326325760 is an abundant number, since it is smaller than the sum of its proper divisors (16411637760).

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

5326325760 is a wasteful number, since it uses less digits than its factorization.

5326325760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 39.

The square root of 5326325760 is about 72981.6809891359. The cubic root of 5326325760 is about 1746.3953841901.

The spelling of 5326325760 in words is "five billion, three hundred twenty-six million, three hundred twenty-five thousand, seven hundred sixty".