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2661406433 = 72188928753
BaseRepresentation
bin1001111010100001…
…1101011011100001
320212110220110021122
42132220131123201
520422310001213
61120031102025
7122644403300
oct23650353341
96773813248
102661406433
111146327054
12623371915
133354c310a
141b3668437
151089aed08
hex9ea1d6e1

2661406433 has 12 divisors (see below), whose sum is σ = 3097668420. Its totient is φ = 2279918592.

The previous prime is 2661406421. The next prime is 2661406441. The reversal of 2661406433 is 3346041662.

It can be written as a sum of positive squares in 2 ways, for example, as 1962755809 + 698650624 = 44303^2 + 26432^2 .

It is not a de Polignac number, because 2661406433 - 24 = 2661406417 is a prime.

It is a super-2 number, since 2×26614064332 = 14166168403227566978, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2661406393 and 2661406402.

It is not an unprimeable number, because it can be changed into a prime (2661406403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 78185 + ... + 106937.

It is an arithmetic number, because the mean of its divisors is an integer number (258139035).

Almost surely, 22661406433 is an apocalyptic number.

It is an amenable number.

2661406433 is a deficient number, since it is larger than the sum of its proper divisors (436261987).

2661406433 is a wasteful number, since it uses less digits than its factorization.

2661406433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30656 (or 30649 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The square root of 2661406433 is about 51588.8208142035. The cubic root of 2661406433 is about 1385.8101379217.

The spelling of 2661406433 in words is "two billion, six hundred sixty-one million, four hundred six thousand, four hundred thirty-three".

Divisors: 1 7 49 1889 13223 28753 92561 201271 1408897 54314417 380200919 2661406433