Search a number
-
+
56676215376 = 24331119738599
BaseRepresentation
bin110100110010001010…
…100110101001010000
312102021212022001102000
4310302022212221100
51412033102343001
642011531554000
74044326611344
oct646212465120
9172255261360
1056676215376
1122044278520
12ab988bb900
135462c6ac21
142a59285624
15171aa52a86
hexd322a6a50

56676215376 has 320 divisors, whose sum is σ = 189392640000. Its totient is φ = 16045931520.

The previous prime is 56676215363. The next prime is 56676215389. The reversal of 56676215376 is 67351267665.

56676215376 is a `hidden beast` number, since 5 + 6 + 6 + 7 + 621 + 5 + 3 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (56676215363) and next prime (56676215389).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6586725 + ... + 6595323.

It is an arithmetic number, because the mean of its divisors is an integer number (591852000).

Almost surely, 256676215376 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 56676215376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94696320000).

56676215376 is an abundant number, since it is smaller than the sum of its proper divisors (132716424624).

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

56676215376 is a wasteful number, since it uses less digits than its factorization.

56676215376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8719 (or 8707 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 54.

The spelling of 56676215376 in words is "fifty-six billion, six hundred seventy-six million, two hundred fifteen thousand, three hundred seventy-six".