Search a number
-
+
63375792480 = 253257211213571
BaseRepresentation
bin111011000001011111…
…011101100101100000
320001120202201211110100
4323001133131211200
52014243200324410
645040415102400
74402340230200
oct730137354540
9201522654410
1063375792480
1124971a89a00
1210348511a00
135c8cc58730
1430d2d5c400
1519adcc78c0
hexec17dd960

63375792480 has 1296 divisors, whose sum is σ = 298322296272. Its totient is φ = 12134707200.

The previous prime is 63375792479. The next prime is 63375792503. The reversal of 63375792480 is 8429757336.

63375792480 is a `hidden beast` number, since 6 + 3 + 3 + 75 + 7 + 92 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 110990595 + ... + 110991165.

It is an arithmetic number, because the mean of its divisors is an integer number (230186957).

Almost surely, 263375792480 is an apocalyptic number.

63375792480 is a gapful number since it is divisible by the number (60) 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 63375792480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149161148136).

63375792480 is an abundant number, since it is smaller than the sum of its proper divisors (234946503792).

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

63375792480 is a wasteful number, since it uses less digits than its factorization.

63375792480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 63375792480 in words is "sixty-three billion, three hundred seventy-five million, seven hundred ninety-two thousand, four hundred eighty".