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5330967936 = 27372311911
BaseRepresentation
bin1001111011100000…
…00001110110000000
3111202112011020012220
410331300001312000
541404211433221
62240553051040
7246051323400
oct47560016600
914675136186
105330967936
112296213128
1210493b6a80
1366c5b00c8
14388016800
152130310c6
hex13dc01d80

5330967936 has 192 divisors, whose sum is σ = 16543388160. Its totient is φ = 1516569600.

The previous prime is 5330967923. The next prime is 5330967989. The reversal of 5330967936 is 6397690335.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5851321 + ... + 5852231.

It is an arithmetic number, because the mean of its divisors is an integer number (86163480).

Almost surely, 25330967936 is an apocalyptic number.

5330967936 is a gapful number since it is divisible by the number (56) 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 5330967936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8271694080).

5330967936 is an abundant number, since it is smaller than the sum of its proper divisors (11212420224).

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

5330967936 is a wasteful number, since it uses less digits than its factorization.

5330967936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 51.

The square root of 5330967936 is about 73013.4777695187. The cubic root of 5330967936 is about 1746.9025956647.

The spelling of 5330967936 in words is "five billion, three hundred thirty million, nine hundred sixty-seven thousand, nine hundred thirty-six".