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5330568672 = 25321113711823
BaseRepresentation
bin1001111011011101…
…00000010111100000
3111202111101221112100
410331232200113200
541404111144142
62240540330400
7246045041352
oct47556402740
914674357470
105330568672
112295a70160
121049243a00
1366c4a0460
14387d510d2
15212ea2b4c
hex13dba05e0

5330568672 has 288 divisors, whose sum is σ = 18069682176. Its totient is φ = 1469260800.

The previous prime is 5330568613. The next prime is 5330568679. The reversal of 5330568672 is 2768650335.

5330568672 is a `hidden beast` number, since 53 + 30 + 568 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5330568679) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2923153 + ... + 2924975.

It is an arithmetic number, because the mean of its divisors is an integer number (62741952).

Almost surely, 25330568672 is an apocalyptic number.

5330568672 is a gapful number since it is divisible by the number (52) 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 5330568672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9034841088).

5330568672 is an abundant number, since it is smaller than the sum of its proper divisors (12739113504).

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

5330568672 is a wasteful number, since it uses less digits than its factorization.

5330568672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 5330568672 is about 73010.7435381944. The cubic root of 5330568672 is about 1746.8589830263.

The spelling of 5330568672 in words is "five billion, three hundred thirty million, five hundred sixty-eight thousand, six hundred seventy-two".