Search a number
-
+
20478611160 = 2335572193173
BaseRepresentation
bin10011000100100111…
…101100111011011000
31221212012010020100000
4103010213230323120
5313420011024120
613224023413000
71323323215500
oct230447547330
957765106300
1020478611160
118759707737
123b762b4160
131c148b13c7
14dc3ab0a00
157eccab990
hex4c49eced8

20478611160 has 1152 divisors, whose sum is σ = 88436275200. Its totient is φ = 4232632320.

The previous prime is 20478611159. The next prime is 20478611183. The reversal of 20478611160 is 6111687402.

It is a happy number.

20478611160 is a `hidden beast` number, since 20 + 4 + 7 + 8 + 611 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 280528884 + ... + 280528956.

It is an arithmetic number, because the mean of its divisors is an integer number (76767600).

Almost surely, 220478611160 is an apocalyptic number.

20478611160 is a gapful number since it is divisible by the number (20) 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 20478611160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44218137600).

20478611160 is an abundant number, since it is smaller than the sum of its proper divisors (67957664040).

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

20478611160 is a wasteful number, since it uses less digits than its factorization.

20478611160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 20478611160 in words is "twenty billion, four hundred seventy-eight million, six hundred eleven thousand, one hundred sixty".