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166562141130 = 2355731137491
BaseRepresentation
bin1001101100011111100…
…0001001001111001010
3120220221000001110100000
42123013320021033022
510212104402004010
6204303444423430
715014364561000
oct2330770111712
9526830043300
10166562141130
1164702a939a0
12283453a7b76
1312925937178
1480c1252a70
1544ecb157c0
hex26c7e093ca

166562141130 has 768 divisors, whose sum is σ = 587981721600. Its totient is φ = 33606316800.

The previous prime is 166562141069. The next prime is 166562141171. The reversal of 166562141130 is 31141265661.

166562141130 is a `hidden beast` number, since 1 + 66 + 562 + 1 + 4 + 1 + 1 + 30 = 666.

166562141130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 339230185 + ... + 339230675.

It is an arithmetic number, because the mean of its divisors is an integer number (765601200).

Almost surely, 2166562141130 is an apocalyptic number.

166562141130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166562141130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293990860800).

166562141130 is an abundant number, since it is smaller than the sum of its proper divisors (421419580470).

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

166562141130 is a wasteful number, since it uses less digits than its factorization.

166562141130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 166562141130 in words is "one hundred sixty-six billion, five hundred sixty-two million, one hundred forty-one thousand, one hundred thirty".