Search a number
-
+
56673960192 = 283241214633
BaseRepresentation
bin110100110010000010…
…000000000100000000
312102021201001110212200
4310302002000010000
51412032013211232
642011411353200
74044301466433
oct646202000400
9172251043780
1056673960192
1122042a78133
12ab97bb2800
13546265b5b5
142a58c5981a
15171a75977c
hexd32080100

56673960192 has 162 divisors, whose sum is σ = 167499139626. Its totient is φ = 18429296640.

The previous prime is 56673960191. The next prime is 56673960229. The reversal of 56673960192 is 29106937665.

56673960192 is a `hidden beast` number, since 5 + 6 + 67 + 396 + 0 + 192 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 14724366336 + 41949593856 = 121344^2 + 204816^2 .

It is not an unprimeable number, because it can be changed into a prime (56673960191) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3865708 + ... + 3880340.

Almost surely, 256673960192 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 56673960192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83749569813).

56673960192 is an abundant number, since it is smaller than the sum of its proper divisors (110825179434).

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

56673960192 is a wasteful number, since it uses less digits than its factorization.

56673960192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14737 (or 14679 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 56673960192 in words is "fifty-six billion, six hundred seventy-three million, nine hundred sixty thousand, one hundred ninety-two".