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5369036800 = 2165229113
BaseRepresentation
bin1010000000000010…
…10000000000000000
3111212011210022212211
411000001100000000
541443433134200
62244433031504
7250023026341
oct50001200000
914764708784
105369036800
1123057548a6
12105a0b5594
1367744b96a
1438d0c60c8
15216550aba
hex140050000

5369036800 has 204 divisors, whose sum is σ = 13896147420. Its totient is φ = 2055208960.

The previous prime is 5369036779. The next prime is 5369036833. The reversal of 5369036800 is 86309635.

It can be written as a sum of positive squares in 6 ways, for example, as 1040449536 + 4328587264 = 32256^2 + 65792^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47513544 + ... + 47513656.

Almost surely, 25369036800 is an apocalyptic number.

5369036800 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 5369036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6948073710).

5369036800 is an abundant number, since it is smaller than the sum of its proper divisors (8527110620).

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

5369036800 is an equidigital number, since it uses as much as digits as its factorization.

5369036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 5369036800 is about 73273.7115205720. The cubic root of 5369036800 is about 1751.0509931711.

5369036800 divided by its sum of digits (40) gives a triangular number (134225920 = T16384).

The spelling of 5369036800 in words is "five billion, three hundred sixty-nine million, thirty-six thousand, eight hundred".