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166147363872 = 25327241928099
BaseRepresentation
bin1001101010111100100…
…1111001010000100000
3120212212002120120220100
42122233021321100200
510210232211120442
6204154350342400
715001200201600
oct2325711712040
9525762516810
10166147363872
116450a945676
122824a4baa00
131288aa20739
148082122c00
1544c64d384c
hex26af279420

166147363872 has 216 divisors, whose sum is σ = 550952766000. Its totient is φ = 47355694848.

The previous prime is 166147363849. The next prime is 166147363883. The reversal of 166147363872 is 278363741661.

It is a happy number.

166147363872 is a `hidden beast` number, since 1 + 66 + 147 + 363 + 87 + 2 = 666.

It is a super-2 number, since 2×1661473638722 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

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 35 ways as a sum of consecutive naturals, for example, 5898879 + ... + 5926977.

It is an arithmetic number, because the mean of its divisors is an integer number (2550707250).

Almost surely, 2166147363872 is an apocalyptic number.

166147363872 is a gapful number since it is divisible by the number (12) 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 166147363872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275476383000).

166147363872 is an abundant number, since it is smaller than the sum of its proper divisors (384805402128).

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

166147363872 is a wasteful number, since it uses less digits than its factorization.

166147363872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28548 (or 28530 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 166147363872 in words is "one hundred sixty-six billion, one hundred forty-seven million, three hundred sixty-three thousand, eight hundred seventy-two".