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166650857472 = 21131117314679
BaseRepresentation
bin1001101100110100101…
…0100100100000000000
3120221011011222201021110
42123031022210200000
510212300104414342
6204320334123320
715016522626141
oct2331512444000
9527134881243
10166650857472
1164749078890
122836b050540
131293b129a48
1480ccd47ac8
1545057dbc9c
hex26cd2a4800

166650857472 has 384 divisors, whose sum is σ = 529862860800. Its totient is φ = 45986611200.

The previous prime is 166650857447. The next prime is 166650857521. The reversal of 166650857472 is 274758056661.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35614429 + ... + 35619107.

It is an arithmetic number, because the mean of its divisors is an integer number (1379851200).

Almost surely, 2166650857472 is an apocalyptic number.

166650857472 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 166650857472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264931430400).

166650857472 is an abundant number, since it is smaller than the sum of its proper divisors (363212003328).

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

166650857472 is a wasteful number, since it uses less digits than its factorization.

166650857472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4763 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 57.

The spelling of 166650857472 in words is "one hundred sixty-six billion, six hundred fifty million, eight hundred fifty-seven thousand, four hundred seventy-two".