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66227162112 = 210332718839
BaseRepresentation
bin111101101011011100…
…100100110000000000
320022221111002102021000
4331223130210300000
52041113123141422
650231353532000
74533112406166
oct755334446000
9208844072230
1066227162112
11260a5563131
1210a03414000
1363259005b7
1432c3915236
151ac92accac
hexf6b724c00

66227162112 has 176 divisors, whose sum is σ = 196878822400. Its totient is φ = 21991772160.

The previous prime is 66227162069. The next prime is 66227162119. The reversal of 66227162112 is 21126172266.

It is a happy number.

66227162112 is a `hidden beast` number, since 6 + 6 + 2 + 27 + 1 + 621 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (66227162119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7488189 + ... + 7497027.

Almost surely, 266227162112 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 66227162112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98439411200).

66227162112 is an abundant number, since it is smaller than the sum of its proper divisors (130651660288).

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

66227162112 is a wasteful number, since it uses less digits than its factorization.

66227162112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9139 (or 9115 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The spelling of 66227162112 in words is "sixty-six billion, two hundred twenty-seven million, one hundred sixty-two thousand, one hundred twelve".