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56450462544 = 2433731920051
BaseRepresentation
bin110100100100101101…
…011011001101010000
312101201010111121202000
4310210231123031100
51411102304300134
641533305154000
74035616005000
oct644455331520
9171633447660
1056450462544
1121a388a6033
12ab3518b900
135428267b78
142a372bc000
151705d0ce99
hexd24b5b350

56450462544 has 320 divisors, whose sum is σ = 198915840000. Its totient is φ = 15279062400.

The previous prime is 56450462521. The next prime is 56450462603. The reversal of 56450462544 is 44526405465.

56450462544 is a `hidden beast` number, since 5 + 6 + 45 + 0 + 4 + 62 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 56450462544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2805319 + ... + 2825369.

It is an arithmetic number, because the mean of its divisors is an integer number (621612000).

Almost surely, 256450462544 is an apocalyptic number.

56450462544 is a gapful number since it is divisible by the number (54) 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 56450462544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99457920000).

56450462544 is an abundant number, since it is smaller than the sum of its proper divisors (142465377456).

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

56450462544 is a wasteful number, since it uses less digits than its factorization.

56450462544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20108 (or 20082 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 56450462544 in words is "fifty-six billion, four hundred fifty million, four hundred sixty-two thousand, five hundred forty-four".