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21916168092 = 223271322272267
BaseRepresentation
bin10100011010010011…
…100010111110011100
32002120101010200201100
4110122103202332130
5324341014334332
614022415313100
71404050232540
oct243223427634
962511120640
1021916168092
119327118515
1242b781b790
1320b367c700
1410bc99ba20
158840be67c
hex51a4e2f9c

21916168092 has 216 divisors, whose sum is σ = 68890663296. Its totient is φ = 5752086912.

The previous prime is 21916168091. The next prime is 21916168111. The reversal of 21916168092 is 29086161912.

21916168092 is a `hidden beast` number, since 21 + 9 + 1 + 616 + 8 + 0 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21916168091) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9666343 + ... + 9668609.

It is an arithmetic number, because the mean of its divisors is an integer number (318938256).

Almost surely, 221916168092 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 21916168092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34445331648).

21916168092 is an abundant number, since it is smaller than the sum of its proper divisors (46974495204).

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

21916168092 is a wasteful number, since it uses less digits than its factorization.

21916168092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 21916168092 in words is "twenty-one billion, nine hundred sixteen million, one hundred sixty-eight thousand, ninety-two".