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5626578746880 = 293357131923289
BaseRepresentation
bin101000111100000101000…
…1110100011111000000000
3201220220011221120102022000
41101320022032203320000
51214141213124400010
615544451541344000
71120335603143130
oct121701216437000
921826157512260
105626578746880
11187a245021a73
1276a575a08000
1331a77935c120
14156483934ac0
159b560b637c0
hex51e0a3a3e00

5626578746880 has 3840 divisors, whose sum is σ = 27371748096000. Its totient is φ = 1063679164416.

The previous prime is 5626578746863. The next prime is 5626578746891. The reversal of 5626578746880 is 886478756265.

5626578746880 is a `hidden beast` number, since 5 + 6 + 2 + 6 + 5 + 7 + 87 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×56265787468802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5626578746799 and 5626578746808.

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 383 ways as a sum of consecutive naturals, for example, 63219985876 + ... + 63219985964.

It is an arithmetic number, because the mean of its divisors is an integer number (7128059400).

Almost surely, 25626578746880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5626578746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13685874048000).

5626578746880 is an abundant number, since it is smaller than the sum of its proper divisors (21745169349120).

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

5626578746880 is a wasteful number, since it uses less digits than its factorization.

5626578746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 72.

The spelling of 5626578746880 in words is "five trillion, six hundred twenty-six billion, five hundred seventy-eight million, seven hundred forty-six thousand, eight hundred eighty".