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5265648000 = 27345317239
BaseRepresentation
bin1001110011101101…
…10110100110000000
3111120222020122010000
410321312312212000
541241001214000
62230301040000
7244326161304
oct47166664600
914528218100
105265648000
112262359308
12102b556000
1365bbbc862
1437d491d04
1520c42c000
hex139db6980

5265648000 has 640 divisors, whose sum is σ = 20793801600. Its totient is φ = 1316044800.

The previous prime is 5265647977. The next prime is 5265648023. The reversal of 5265648000 is 8465625.

5265648000 is a `hidden beast` number, since 5 + 2 + 6 + 5 + 648 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5265647977) and next prime (5265648023).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×52656480003 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22031881 + ... + 22032119.

It is an arithmetic number, because the mean of its divisors is an integer number (32490315).

Almost surely, 25265648000 is an apocalyptic number.

5265648000 is a gapful number since it is divisible by the number (50) 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 5265648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10396900800).

5265648000 is an abundant number, since it is smaller than the sum of its proper divisors (15528153600).

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

5265648000 is a wasteful number, since it uses less digits than its factorization.

5265648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5265648000 is about 72564.7848477483. The cubic root of 5265648000 is about 1739.7383673207.

The spelling of 5265648000 in words is "five billion, two hundred sixty-five million, six hundred forty-eight thousand".