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5149448640 = 263457101281
BaseRepresentation
bin1001100101110111…
…00101100111000000
3111021212121002120000
410302323211213000
541021224324030
62210550320000
7241415406540
oct46273454700
914255532500
105149448640
112202802a86
12bb8659000
13640ac683b
1436bc85320
15202127860
hex132ee59c0

5149448640 has 560 divisors, whose sum is σ = 21216786624. Its totient is φ = 1161216000.

The previous prime is 5149448621. The next prime is 5149448663. The reversal of 5149448640 is 468449415.

5149448640 is a `hidden beast` number, since 5 + 149 + 448 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18325300 + ... + 18325580.

Almost surely, 25149448640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5149448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10608393312).

5149448640 is an abundant number, since it is smaller than the sum of its proper divisors (16067337984).

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

5149448640 is a wasteful number, since it uses less digits than its factorization.

5149448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 5149448640 is about 71759.6588620654. The cubic root of 5149448640 is about 1726.8458728513.

The spelling of 5149448640 in words is "five billion, one hundred forty-nine million, four hundred forty-eight thousand, six hundred forty".