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166996598160 = 243572194118229
BaseRepresentation
bin1001101110000111000…
…1011101110110010000
3120222001021120011100010
42123201301131312100
510214002112120120
6204414524354520
715031221443400
oct2334161356620
9528037504303
10166996598160
1164906253997
12284469a5a40
1312994951332
148122c26800
154525d337e0
hex26e1c5dd90

166996598160 has 480 divisors, whose sum is σ = 649402185600. Its totient is φ = 35277742080.

The previous prime is 166996598099. The next prime is 166996598161. The reversal of 166996598160 is 61895699661.

It is a happy number.

166996598160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 166996598091 and 166996598100.

It is not an unprimeable number, because it can be changed into a prime (166996598161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9151926 + ... + 9170154.

It is an arithmetic number, because the mean of its divisors is an integer number (1352921220).

Almost surely, 2166996598160 is an apocalyptic number.

166996598160 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 166996598160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324701092800).

166996598160 is an abundant number, since it is smaller than the sum of its proper divisors (482405587440).

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

166996598160 is a wasteful number, since it uses less digits than its factorization.

166996598160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18319 (or 18306 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 66.

The spelling of 166996598160 in words is "one hundred sixty-six billion, nine hundred ninety-six million, five hundred ninety-eight thousand, one hundred sixty".