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198039411961 = 7313719801961
BaseRepresentation
bin1011100001110000010…
…0011001110011111001
3200221011201002111022121
42320130010121303321
511221041042140321
6230551131521241
720210413140616
oct2703404316371
9627151074277
10198039411961
1176a960a3406
123246abb9221
13158a1093b01
14982996550d
155241299441
hex2e1c119cf9

198039411961 has 8 divisors (see below), whose sum is σ = 202217635944. Its totient is φ = 193900792320.

The previous prime is 198039411953. The next prime is 198039411967. The reversal of 198039411961 is 169114930891.

198039411961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 50598003600 + 147441408361 = 224940^2 + 383981^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 198039411961 - 23 = 198039411953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 198039411899 and 198039411908.

It is not an unprimeable number, because it can be changed into a prime (198039411967) 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 7 ways as a sum of consecutive naturals, for example, 9890980 + ... + 9910981.

It is an arithmetic number, because the mean of its divisors is an integer number (25277204493).

Almost surely, 2198039411961 is an apocalyptic number.

It is an amenable number.

198039411961 is a deficient number, since it is larger than the sum of its proper divisors (4178223983).

198039411961 is a wasteful number, since it uses less digits than its factorization.

198039411961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19802171.

The product of its (nonzero) digits is 419904, while the sum is 52.

The spelling of 198039411961 in words is "one hundred ninety-eight billion, thirty-nine million, four hundred eleven thousand, nine hundred sixty-one".

Divisors: 1 73 137 10001 19801961 1445543153 2712868657 198039411961