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5249486113200 = 2433527194384991
BaseRepresentation
bin100110001100011110111…
…0000010100100110110000
3200120211211201020211101000
41030120331300110212300
51142001421421110300
615055325225442000
71051156105506510
oct114307560244660
920524751224330
105249486113200
111744327069a7a
12709476340300
132c1041848314
1414210dc29840
159184037cc00
hex4c63dc149b0

5249486113200 has 960 divisors, whose sum is σ = 23000331059200. Its totient is φ = 1110282163200.

The previous prime is 5249486113189. The next prime is 5249486113229. The reversal of 5249486113200 is 23116849425.

5249486113200 is a `hidden beast` number, since 5 + 2 + 4 + 9 + 4 + 8 + 611 + 3 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61722705 + ... + 61807695.

Almost surely, 25249486113200 is an apocalyptic number.

5249486113200 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 5249486113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11500165529600).

5249486113200 is an abundant number, since it is smaller than the sum of its proper divisors (17750844946000).

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

5249486113200 is a wasteful number, since it uses less digits than its factorization.

5249486113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85087 (or 85070 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 5249486113200 in words is "five trillion, two hundred forty-nine billion, four hundred eighty-six million, one hundred thirteen thousand, two hundred".