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166158427680 = 25335723125321
BaseRepresentation
bin1001101010111111010…
…0000110011000100000
3120212212212101200121000
42122233310012120200
510210243024141210
6204155423432000
715001363221600
oct2325764063040
9525785350530
10166158427680
1164516112013
1228252155600
13128900c557b
1480837a2c00
1544c746bac0
hex26afd06620

166158427680 has 576 divisors, whose sum is σ = 698352399360. Its totient is φ = 36752486400.

The previous prime is 166158427621. The next prime is 166158427697. The reversal of 166158427680 is 86724851661.

166158427680 is a `hidden beast` number, since 1 + 6 + 6 + 158 + 427 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6549420 + ... + 6574740.

It is an arithmetic number, because the mean of its divisors is an integer number (1212417360).

Almost surely, 2166158427680 is an apocalyptic number.

166158427680 is a gapful number since it is divisible by the number (10) 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 166158427680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349176199680).

166158427680 is an abundant number, since it is smaller than the sum of its proper divisors (532193971680).

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

166158427680 is a wasteful number, since it uses less digits than its factorization.

166158427680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25390 (or 25369 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 166158427680 in words is "one hundred sixty-six billion, one hundred fifty-eight million, four hundred twenty-seven thousand, six hundred eighty".