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166090644720 = 2433571113219311
BaseRepresentation
bin1001101010101111000…
…1100001110011110000
3120212201010211221212000
42122223301201303300
510210123201112340
6204145002534000
714666611120620
oct2325361416360
9525633757760
10166090644720
1164490925740
1228233507300
131287c051c00
14807879a880
1544c152cd30
hex26abc61cf0

166090644720 has 1920 divisors, whose sum is σ = 815604940800. Its totient is φ = 30083788800.

The previous prime is 166090644679. The next prime is 166090644721. The reversal of 166090644720 is 27446090661.

166090644720 is a `hidden beast` number, since 16 + 609 + 0 + 6 + 4 + 4 + 7 + 20 = 666.

166090644720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1660906447202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166090644721) 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 383 ways as a sum of consecutive naturals, for example, 534053365 + ... + 534053675.

It is an arithmetic number, because the mean of its divisors is an integer number (424794240).

Almost surely, 2166090644720 is an apocalyptic number.

166090644720 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 166090644720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407802470400).

166090644720 is an abundant number, since it is smaller than the sum of its proper divisors (649514296080).

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

166090644720 is a wasteful number, since it uses less digits than its factorization.

166090644720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

It can be divided in two parts, 1660 and 90644720, that added together give a triangular number (90646380 = T13464).

The spelling of 166090644720 in words is "one hundred sixty-six billion, ninety million, six hundred forty-four thousand, seven hundred twenty".