Search a number
-
+
20655182016 = 2632723222731
BaseRepresentation
bin10011001111001001…
…010001000011000000
31222022111100222000100
4103033021101003000
5314300211311031
613253332122400
71330566102360
oct231711210300
958274328010
1020655182016
11883a347a67
124005466400
131c423544c1
14ddd3149a0
1580d538de6
hex4cf2510c0

20655182016 has 168 divisors, whose sum is σ = 70604262144. Its totient is φ = 5644869120.

The previous prime is 20655181949. The next prime is 20655182021. The reversal of 20655182016 is 61028155602.

20655182016 is a `hidden beast` number, since 20 + 6 + 551 + 82 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×206551820162 (a number of 21 digits) contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 18630 + ... + 204101.

Almost surely, 220655182016 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 20655182016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35302131072).

20655182016 is an abundant number, since it is smaller than the sum of its proper divisors (49949080128).

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

20655182016 is a wasteful number, since it uses less digits than its factorization.

20655182016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222779 (or 222766 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 20655182016 in words is "twenty billion, six hundred fifty-five million, one hundred eighty-two thousand, sixteen".