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5046100416 = 26347241577
BaseRepresentation
bin1001011001100010…
…10110000111000000
3111000200010110110000
410230301112013000
540313300203131
62152415240000
7236022101010
oct45461260700
914020113400
105046100416
11215a434a25
12b89b19000
13625580046
1435c261c40
151e8010ce6
hex12cc561c0

5046100416 has 280 divisors, whose sum is σ = 17195795936. Its totient is φ = 1433272320.

The previous prime is 5046100357. The next prime is 5046100421. The reversal of 5046100416 is 6140016405.

5046100416 is a `hidden beast` number, since 5 + 0 + 4 + 610 + 0 + 41 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5046100416.

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 39 ways as a sum of consecutive naturals, for example, 8745120 + ... + 8745696.

Almost surely, 25046100416 is an apocalyptic number.

5046100416 is a gapful number since it is divisible by the number (56) 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 5046100416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8597897968).

5046100416 is an abundant number, since it is smaller than the sum of its proper divisors (12149695520).

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

5046100416 is a wasteful number, since it uses less digits than its factorization.

5046100416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5046100416 is about 71035.9093416844. The cubic root of 5046100416 is about 1715.2152507439.

The spelling of 5046100416 in words is "five billion, forty-six million, one hundred thousand, four hundred sixteen".