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5269536000 = 28345319107
BaseRepresentation
bin1001110100001011…
…01011110100000000
3111121020120011110000
410322011223310000
541243000123000
62230520240000
7244404213501
oct47205536400
914536504400
105269536000
112264574433
121030910000
1365c951451
1437dbc4ba8
1520c949000
hex13a16bd00

5269536000 has 720 divisors, whose sum is σ = 20834573760. Its totient is φ = 1318809600.

The previous prime is 5269535969. The next prime is 5269536011. The reversal of 5269536000 is 6359625.

It is a tau number, because it is divible by the number of its divisors (720).

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, 49247947 + ... + 49248053.

It is an arithmetic number, because the mean of its divisors is an integer number (28936908).

Almost surely, 25269536000 is an apocalyptic number.

5269536000 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 5269536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10417286880).

5269536000 is an abundant number, since it is smaller than the sum of its proper divisors (15565037760).

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

5269536000 is a wasteful number, since it uses less digits than its factorization.

5269536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 5269536000 is about 72591.5697584782. The cubic root of 5269536000 is about 1740.1664525661.

The spelling of 5269536000 in words is "five billion, two hundred sixty-nine million, five hundred thirty-six thousand".