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4963472640 = 2834572977
BaseRepresentation
bin1001001111101100…
…01001010100000000
3110210220122112110000
410213312021110000
540131122111030
62140304240000
7233666551500
oct44766112400
913726575400
104963472640
112117829505
12b66310000
1361140c879
143512b3a00
151e0b3d860
hex127d89500

4963472640 has 540 divisors, whose sum is σ = 20680985556. Its totient is φ = 1133346816.

The previous prime is 4963472629. The next prime is 4963472659. The reversal of 4963472640 is 462743694.

It is a happy number.

4963472640 is a `hidden beast` number, since 4 + 9 + 634 + 7 + 2 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3418039296 + 1545433344 = 58464^2 + 39312^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a nialpdrome in base 12.

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 59 ways as a sum of consecutive naturals, for example, 5079832 + ... + 5080808.

Almost surely, 24963472640 is an apocalyptic number.

4963472640 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 4963472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10340492778).

4963472640 is an abundant number, since it is smaller than the sum of its proper divisors (15717512916).

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

4963472640 is an equidigital number, since it uses as much as digits as its factorization.

4963472640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 4963472640 is about 70451.9172201864. The cubic root of 4963472640 is about 1705.8017047117.

The spelling of 4963472640 in words is "four billion, nine hundred sixty-three million, four hundred seventy-two thousand, six hundred forty".