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46406681109049 = 1737971519322153
BaseRepresentation
bin10101000110100111001011…
…01111100010001000111001
320002022102202101201102211211
422203103211233202020321
522040311340330442144
6242410533542523121
712526525550666032
oct1243234557421071
9202272671642754
1046406681109049
1113871a65736a48
125255b137364a1
131cb8192488351
14b661498d7a89
15557226dc6034
hex2a34e5be2239

46406681109049 has 16 divisors (see below), whose sum is σ = 46738676798352. Its totient is φ = 46075431287808.

The previous prime is 46406681109031. The next prime is 46406681109067. The reversal of 46406681109049 is 94090118660464.

46406681109049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46406681109031) and next prime (46406681109067).

It can be written as a sum of positive squares in 8 ways, for example, as 3708859705600 + 42697821403449 = 1925840^2 + 6534357^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-46406681109049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 46406681108984 and 46406681109002.

It is not an unprimeable number, because it can be changed into a prime (46406681109079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2094814957 + ... + 2094837109.

It is an arithmetic number, because the mean of its divisors is an integer number (2921167299897).

Almost surely, 246406681109049 is an apocalyptic number.

It is an amenable number.

46406681109049 is a deficient number, since it is larger than the sum of its proper divisors (331995689303).

46406681109049 is a wasteful number, since it uses less digits than its factorization.

46406681109049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38316.

The product of its (nonzero) digits is 8957952, while the sum is 58.

The spelling of 46406681109049 in words is "forty-six trillion, four hundred six billion, six hundred eighty-one million, one hundred nine thousand, forty-nine".

Divisors: 1 173 797 15193 22153 137881 2628389 3832469 12108821 17655941 336570529 2094826033 3054477793 58226701517 268246711613 46406681109049