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45440478720 = 2932571321673
BaseRepresentation
bin101010010100011101…
…101010111000000000
311100021211021111021100
4222110131222320000
51221030230304340
632513003054400
73166025460540
oct522435527000
9140254244240
1045440478720
11182a8a6924a
128981b11400
134392256140
1422b0d6d320
1512ae44a830
hexa9476ae00

45440478720 has 480 divisors, whose sum is σ = 193698977472. Its totient is φ = 9586999296.

The previous prime is 45440478691. The next prime is 45440478737. The reversal of 45440478720 is 2787404454.

45440478720 is a `hidden beast` number, since 4 + 544 + 0 + 4 + 7 + 87 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 2085804 + ... + 2107476.

Almost surely, 245440478720 is an apocalyptic number.

45440478720 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 45440478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96849488736).

45440478720 is an abundant number, since it is smaller than the sum of its proper divisors (148258498752).

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

45440478720 is a wasteful number, since it uses less digits than its factorization.

45440478720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21722 (or 21703 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

The spelling of 45440478720 in words is "forty-five billion, four hundred forty million, four hundred seventy-eight thousand, seven hundred twenty".