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5270323968 = 2835731319
BaseRepresentation
bin1001110100010001…
…01100001100000000
3111121022001012100000
410322020230030000
541243200331333
62230545200000
7244414005000
oct47210541400
914538035300
105270323968
112264a62448
121031030000
1365cb68cc0
1437dd4c000
1520ca52713
hex13a22c300

5270323968 has 864 divisors, whose sum is σ = 20832448000. Its totient is φ = 1316818944.

The previous prime is 5270323963. The next prime is 5270324023. The reversal of 5270323968 is 8693230725.

5270323968 is a `hidden beast` number, since 527 + 0 + 32 + 3 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (5270323963) 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 95 ways as a sum of consecutive naturals, for example, 277385463 + ... + 277385481.

Almost surely, 25270323968 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 5270323968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10416224000).

5270323968 is an abundant number, since it is smaller than the sum of its proper divisors (15562124032).

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

5270323968 is an equidigital number, since it uses as much as digits as its factorization.

5270323968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 5270323968 is about 72596.9969626843. The cubic root of 5270323968 is about 1740.2531855118.

The spelling of 5270323968 in words is "five billion, two hundred seventy million, three hundred twenty-three thousand, nine hundred sixty-eight".