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55458783910656 = 28357231586903
BaseRepresentation
bin11001001110000100000010…
…00111010101101100000000
321021100210211000010211100000
430213002001013111230000
524232114042140120111
6313541225201200000
714452523236163100
oct1447020107255400
9237323730124300
1055458783910656
1116741a3578a095
12627834a630000
1324c3982946b59
14d9a3102c9200
15662924864c56
hex3270811d5b00

55458783910656 has 648 divisors, whose sum is σ = 199119680707584. Its totient is φ = 15334199838720.

The previous prime is 55458783910639. The next prime is 55458783910667. The reversal of 55458783910656 is 65601938785455.

55458783910656 is a `hidden beast` number, since 5 + 5 + 4 + 587 + 8 + 39 + 1 + 0 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

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 71 ways as a sum of consecutive naturals, for example, 94200501 + ... + 94787403.

Almost surely, 255458783910656 is an apocalyptic number.

55458783910656 is a gapful number since it is divisible by the number (56) 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 55458783910656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99559840353792).

55458783910656 is an abundant number, since it is smaller than the sum of its proper divisors (143660896796928).

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

55458783910656 is an equidigital number, since it uses as much as digits as its factorization.

55458783910656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586979 (or 586946 counting only the distinct ones).

The product of its (nonzero) digits is 1088640000, while the sum is 72.

The spelling of 55458783910656 in words is "fifty-five trillion, four hundred fifty-eight billion, seven hundred eighty-three million, nine hundred ten thousand, six hundred fifty-six".