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166154064401 = 13149186146093
BaseRepresentation
bin1001101010111110001…
…1011101001000010001
3120212212120012000022002
42122233203131020101
510210240420030101
6204155150123345
715001311146633
oct2325743351021
9525776160262
10166154064401
11645137018a6
12282507b0555
131288c228550
148082d88a53
1544c6da8d6b
hex26af8dd211

166154064401 has 16 divisors (see below), whose sum is σ = 180236758800. Its totient is φ = 152258469120.

The previous prime is 166154064367. The next prime is 166154064409. The reversal of 166154064401 is 104460451661.

166154064401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 4076202+1.

It can be written as a sum of positive squares in 8 ways, for example, as 84486142225 + 81667922176 = 290665^2 + 285776^2 .

It is a cyclic number.

It is not a de Polignac number, because 166154064401 - 210 = 166154063377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (166154064409) 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 15 ways as a sum of consecutive naturals, for example, 3581711 + ... + 3627803.

It is an arithmetic number, because the mean of its divisors is an integer number (11264797425).

Almost surely, 2166154064401 is an apocalyptic number.

It is an amenable number.

166154064401 is a deficient number, since it is larger than the sum of its proper divisors (14082694399).

166154064401 is a wasteful number, since it uses less digits than its factorization.

166154064401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48116.

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 166154064401 in words is "one hundred sixty-six billion, one hundred fifty-four million, sixty-four thousand, four hundred one".

Divisors: 1 13 149 1861 1937 24193 46093 277289 599209 3604757 6867857 85779073 89282141 1115127949 12781081877 166154064401