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4999138560 = 28345133709
BaseRepresentation
bin1001010011111100…
…01100110100000000
3110220101202112220000
410221332030310000
540214234413220
62144020520000
7234611655663
oct45176146400
913811675800
104999138560
112135979879
12b76250000
13618919770
14355d196da
151e3d36390
hex129f8cd00

4999138560 has 360 divisors, whose sum is σ = 19269012840. Its totient is φ = 1230225408.

The previous prime is 4999138559. The next prime is 4999138601. The reversal of 4999138560 is 658319994.

4999138560 is a `hidden beast` number, since 49 + 9 + 9 + 1 + 38 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 4999055616 = 288^2 + 70704^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4999138497 and 4999138506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1345986 + ... + 1349694.

Almost surely, 24999138560 is an apocalyptic number.

4999138560 is a gapful number since it is divisible by the number (40) 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 4999138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9634506420).

4999138560 is an abundant number, since it is smaller than the sum of its proper divisors (14269874280).

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

4999138560 is a wasteful number, since it uses less digits than its factorization.

4999138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3755 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 4999138560 is about 70704.5865556118. The cubic root of 4999138560 is about 1709.8777382578.

The spelling of 4999138560 in words is "four billion, nine hundred ninety-nine million, one hundred thirty-eight thousand, five hundred sixty".