Search a number
-
+
56054676581568 = 26327196167179033
BaseRepresentation
bin11001011111011001111110…
…00101011110110011000000
321100110202220210022221112200
430233230333011132303000
524321344434201102233
6315115055105153200
714543550066255540
oct1457547705366300
9240422823287480
1056054676581568
1116951722651535
12635393192b800
132537c19674202
14dbb0bcc7b320
1567319dd0b313
hex32fb3f15ecc0

56054676581568 has 672 divisors, whose sum is σ = 199389907991040. Its totient is φ = 14701133905920.

The previous prime is 56054676581543. The next prime is 56054676581689. The reversal of 56054676581568 is 86518567645065.

56054676581568 is a `hidden beast` number, since 5 + 6 + 0 + 5 + 4 + 6 + 7 + 6 + 58 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 56054676581496 and 56054676581505.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 313007380 + ... + 313186412.

Almost surely, 256054676581568 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 56054676581568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99694953995520).

56054676581568 is an abundant number, since it is smaller than the sum of its proper divisors (143335231409472).

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

56054676581568 is a wasteful number, since it uses less digits than its factorization.

56054676581568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179205 (or 179192 counting only the distinct ones).

The product of its (nonzero) digits is 1451520000, while the sum is 72.

The spelling of 56054676581568 in words is "fifty-six trillion, fifty-four billion, six hundred seventy-six million, five hundred eighty-one thousand, five hundred sixty-eight".