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166990151328 = 2537211131631523
BaseRepresentation
bin1001101110000101100…
…0110111111010100000
3120222000211102121221120
42123201120313322200
510213443434320303
6204414134252240
715031112603100
oct2334130677240
9528024377846
10166990151328
1164902650330
12284447b7080
1312993504b40
148122029200
1545254ad553
hex26e1637ea0

166990151328 has 576 divisors, whose sum is σ = 603133558272. Its totient is φ = 39765841920.

The previous prime is 166990151323. The next prime is 166990151347. The reversal of 166990151328 is 823151099661.

166990151328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (166990151323) 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, 109644775 + ... + 109646297.

It is an arithmetic number, because the mean of its divisors is an integer number (1047106872).

Almost surely, 2166990151328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166990151328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301566779136).

166990151328 is an abundant number, since it is smaller than the sum of its proper divisors (436143406944).

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

166990151328 is a wasteful number, since it uses less digits than its factorization.

166990151328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 51.

The spelling of 166990151328 in words is "one hundred sixty-six billion, nine hundred ninety million, one hundred fifty-one thousand, three hundred twenty-eight".