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5148643500 = 22345371113127
BaseRepresentation
bin1001100101110001…
…00001000010101100
3111021211002012010000
410302320201002230
541021023043000
62210521144300
7241405514310
oct46270410254
914254065100
105148643500
112202303080
12bb832b090
136408a4220
1436bb15b40
15202019000
hex132e210ac

5148643500 has 960 divisors, whose sum is σ = 22730932224. Its totient is φ = 979776000.

The previous prime is 5148643483. The next prime is 5148643531. The reversal of 5148643500 is 53468415.

It is a happy number.

5148643500 is a `hidden beast` number, since 5 + 1 + 4 + 8 + 643 + 5 + 0 + 0 = 666.

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

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 40540437 + ... + 40540563.

Almost surely, 25148643500 is an apocalyptic number.

5148643500 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 5148643500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11365466112).

5148643500 is an abundant number, since it is smaller than the sum of its proper divisors (17582288724).

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

5148643500 is a wasteful number, since it uses less digits than its factorization.

5148643500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

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

The square root of 5148643500 is about 71754.0486662599. The cubic root of 5148643500 is about 1726.7558680597.

The spelling of 5148643500 in words is "five billion, one hundred forty-eight million, six hundred forty-three thousand, five hundred".