Search a number
-
+
5678526672 = 24327132383227
BaseRepresentation
bin1010100100111011…
…10111000011010000
3112122202011001011200
411102131313003100
543112200323142
62335250311200
7260501452230
oct52235670320
915582131150
105678526672
112454420155
121125888500
136c65c0070
143bc249cc0
152337d664c
hex1527770d0

5678526672 has 480 divisors, whose sum is σ = 20746672128. Its totient is φ = 1409025024.

The previous prime is 5678526631. The next prime is 5678526757. The reversal of 5678526672 is 2766258765.

5678526672 is a `hidden beast` number, since 56 + 7 + 8 + 526 + 67 + 2 = 666.

It is a super-3 number, since 3×56785266723 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

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, 25015423 + ... + 25015649.

Almost surely, 25678526672 is an apocalyptic number.

5678526672 is a gapful number since it is divisible by the number (52) 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 5678526672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10373336064).

5678526672 is an abundant number, since it is smaller than the sum of its proper divisors (15068145456).

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

5678526672 is a wasteful number, since it uses less digits than its factorization.

5678526672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 358 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The square root of 5678526672 is about 75355.9995753490. Note that the first 3 decimals coincide. The cubic root of 5678526672 is about 1784.0699983259.

The spelling of 5678526672 in words is "five billion, six hundred seventy-eight million, five hundred twenty-six thousand, six hundred seventy-two".