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5319314009280 = 2632541431079791
BaseRepresentation
bin100110101100111111111…
…0100100110110011000000
3200211112002010202111001100
41031121333310212303000
51144122423341244110
615151354211534400
71056210363025455
oct115317764466300
920745063674040
105319314009280
1117709aa0a18a7
1271ab035ba400
132c77bc424b1b
14145655a4182c
159357a7e4bc0
hex4d67fd26cc0

5319314009280 has 672 divisors, whose sum is σ = 19359558586368. Its totient is φ = 1338933657600.

The previous prime is 5319314009279. The next prime is 5319314009281. The reversal of 5319314009280 is 829004139135.

It is a happy number.

5319314009280 is a `hidden beast` number, since 53 + 1 + 9 + 31 + 400 + 92 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5319314009279) and next prime (5319314009281).

It is a super-2 number, since 2×53193140092802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5319314009281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 543281185 + ... + 543290975.

It is an arithmetic number, because the mean of its divisors is an integer number (28808866944).

Almost surely, 25319314009280 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 5319314009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9679779293184).

5319314009280 is an abundant number, since it is smaller than the sum of its proper divisors (14040244577088).

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

5319314009280 is a wasteful number, since it uses less digits than its factorization.

5319314009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10005 (or 9992 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 5319314009280 in words is "five trillion, three hundred nineteen billion, three hundred fourteen million, nine thousand, two hundred eighty".