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5041148805 = 3457111737257
BaseRepresentation
bin1001011000111100…
…11101001110000101
3111000022210220010000
410230132131032011
540311013230210
62152121151513
7235632025560
oct45436351605
914008726100
105041148805
112157662790
12b8832b599
136245382b4
1435b7334d7
151e7883ac0
hex12c79d385

5041148805 has 320 divisors, whose sum is σ = 12299392512. Its totient is φ = 1911029760.

The previous prime is 5041148803. The next prime is 5041148807. The reversal of 5041148805 is 5088411405.

5041148805 is a `hidden beast` number, since 504 + 1 + 148 + 8 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (5041148803) and next prime (5041148807).

It is not a de Polignac number, because 5041148805 - 21 = 5041148803 is a prime.

It is a super-3 number, since 3×50411488053 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5041148805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5041148803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 19615237 + ... + 19615493.

Almost surely, 25041148805 is an apocalyptic number.

5041148805 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5041148805 is an abundant number, since it is smaller than the sum of its proper divisors (7258243707).

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

5041148805 is a wasteful number, since it uses less digits than its factorization.

5041148805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5041148805 is about 71001.0479148019. The cubic root of 5041148805 is about 1714.6540346540.

The spelling of 5041148805 in words is "five billion, forty-one million, one hundred forty-eight thousand, eight hundred five".