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5004930600 = 2333521948781
BaseRepresentation
bin1001010100101000…
…10010111000101000
3110220210122211002000
410222110102320220
540222230234400
62144345011000
7235012131255
oct45224227050
913823584060
105004930600
11213917548a
12b78183a60
13619b96bc7
143569c642c
151e45cc600
hex12a512e28

5004930600 has 192 divisors, whose sum is σ = 18146904000. Its totient is φ = 1264377600.

The previous prime is 5004930599. The next prime is 5004930607. The reversal of 5004930600 is 60394005.

It is a happy number.

5004930600 is a `hidden beast` number, since 50 + 0 + 4 + 9 + 3 + 0 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5004930607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78210 + ... + 126990.

It is an arithmetic number, because the mean of its divisors is an integer number (94515125).

Almost surely, 25004930600 is an apocalyptic number.

5004930600 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 5004930600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9073452000).

5004930600 is an abundant number, since it is smaller than the sum of its proper divisors (13141973400).

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

5004930600 is a wasteful number, since it uses less digits than its factorization.

5004930600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48825 (or 48810 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5004930600 is about 70745.5341346717. The cubic root of 5004930600 is about 1710.5378425118.

The spelling of 5004930600 in words is "five billion, four million, nine hundred thirty thousand, six hundred".