Search a number
-
+
20623196160 = 216355737
BaseRepresentation
bin10011001101001111…
…010000000000000000
31222020021011220200000
4103031033100000000
5314214014234120
613250230400000
71330030163220
oct231517200000
958207156600
1020623196160
118823290576
123bb6800000
131c38835668
14dd8d8a080
1580a81b990
hex4cd3d0000

20623196160 has 816 divisors, whose sum is σ = 87022755456. Its totient is φ = 4586471424.

The previous prime is 20623196149. The next prime is 20623196171. The reversal of 20623196160 is 6169132602.

It is a happy number.

20623196160 is a `hidden beast` number, since 2 + 0 + 6 + 2 + 31 + 9 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20623196149) and next prime (20623196171).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557383662 + ... + 557383698.

Almost surely, 220623196160 is an apocalyptic number.

20623196160 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 20623196160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43511377728).

20623196160 is an abundant number, since it is smaller than the sum of its proper divisors (66399559296).

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

20623196160 is an frugal number, since it uses more digits than its factorization.

20623196160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 20623196160 in words is "twenty billion, six hundred twenty-three million, one hundred ninety-six thousand, one hundred sixty".