Search a number
-
+
5605456896 = 210321325961
BaseRepresentation
bin1010011100001110…
…00111110000000000
3112110122122201021200
411032013013300000
542434444110041
62324120221200
7255623411634
oct51607076000
915418581250
105605456896
112417152806
12110530a800
136b4418200
143b2668dc4
1522c1a11b6
hex14e1c7c00

5605456896 has 396 divisors, whose sum is σ = 18115704360. Its totient is φ = 1667727360.

The previous prime is 5605456889. The next prime is 5605456907. The reversal of 5605456896 is 6986545065.

5605456896 is a `hidden beast` number, since 5 + 6 + 0 + 545 + 6 + 8 + 96 = 666.

It is a super-2 number, since 2×56054568962 = 62842294025827909632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91892706 + ... + 91892766.

Almost surely, 25605456896 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 5605456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9057852180).

5605456896 is an abundant number, since it is smaller than the sum of its proper divisors (12510247464).

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

5605456896 is a wasteful number, since it uses less digits than its factorization.

5605456896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The square root of 5605456896 is about 74869.5992776775. The cubic root of 5605456896 is about 1776.3846257295.

The spelling of 5605456896 in words is "five billion, six hundred five million, four hundred fifty-six thousand, eight hundred ninety-six".