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5331296256 = 213311133741
BaseRepresentation
bin1001111011100010…
…10010000000000000
3111202112202220120220
410331301102000000
541404302440011
62241004103040
7246054161526
oct47561220000
914675686526
105331296256
112296417870
121049534a80
1366c696690
143880a0316
15213098506
hex13dc52000

5331296256 has 448 divisors, whose sum is σ = 17570964096. Its totient is φ = 1415577600.

The previous prime is 5331296251. The next prime is 5331296273. The reversal of 5331296256 is 6526921335.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5331296251) 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 31 ways as a sum of consecutive naturals, for example, 130031596 + ... + 130031636.

It is an arithmetic number, because the mean of its divisors is an integer number (39220902).

Almost surely, 25331296256 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 5331296256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8785482048).

5331296256 is an abundant number, since it is smaller than the sum of its proper divisors (12239667840).

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

5331296256 is a wasteful number, since it uses less digits than its factorization.

5331296256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its digits is 291600, while the sum is 42.

The square root of 5331296256 is about 73015.7260869191. The cubic root of 5331296256 is about 1746.9384572752.

The spelling of 5331296256 in words is "five billion, three hundred thirty-one million, two hundred ninety-six thousand, two hundred fifty-six".