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166422113385696 = 25347291392275439
BaseRepresentation
bin100101110101110000101010…
…111100110111110011100000
3210211020210120020001100120000
4211311300222330313303200
5133303124442011320241
61345541132523020000
750024413053314340
oct4565605274676340
9724223506040500
10166422113385696
1149033249432aa3
12167b987906a600
1371b26cbb6395c
142d14c32354d20
15143904b27ceb6
hex975c2af37ce0

166422113385696 has 480 divisors, whose sum is σ = 582814818432000. Its totient is φ = 45579243967488.

The previous prime is 166422113385691. The next prime is 166422113385707. The reversal of 166422113385696 is 696583311224661.

166422113385696 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 2 + 21 + 13 + 38 + 569 + 6 = 666.

It is a super-2 number, since 2×1664221133856962 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166422113385691) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72000745 + ... + 74276183.

It is an arithmetic number, because the mean of its divisors is an integer number (1214197538400).

Almost surely, 2166422113385696 is an apocalyptic number.

166422113385696 is a gapful number since it is divisible by the number (16) 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 166422113385696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291407409216000).

166422113385696 is an abundant number, since it is smaller than the sum of its proper divisors (416392705046304).

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

166422113385696 is a wasteful number, since it uses less digits than its factorization.

166422113385696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275636 (or 2275619 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 166422113385696 in words is "one hundred sixty-six trillion, four hundred twenty-two billion, one hundred thirteen million, three hundred eighty-five thousand, six hundred ninety-six".