Search a number
-
+
34125561837 = 323791729093
BaseRepresentation
bin11111110010000010…
…101011111111101101
310021002021021011021200
4133302002223333231
51024342120434322
623402125120113
72315443326633
oct376202537755
9107067234250
1034125561837
1113521a98774
1267446b9039
1332ab00a153
14191a325353
15d4ae028ac
hex7f20abfed

34125561837 has 6 divisors (see below), whose sum is σ = 49292478222. Its totient is φ = 22750374552.

The previous prime is 34125561809. The next prime is 34125561893. The reversal of 34125561837 is 73816552143.

It is a happy number.

34125561837 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 5 + 561 + 83 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25182833481 + 8942728356 = 158691^2 + 94566^2 .

It is not a de Polignac number, because 34125561837 - 26 = 34125561773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34125561792 and 34125561801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34125561737) 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 5 ways as a sum of consecutive naturals, for example, 1895864538 + ... + 1895864555.

It is an arithmetic number, because the mean of its divisors is an integer number (8215413037).

Almost surely, 234125561837 is an apocalyptic number.

It is an amenable number.

34125561837 is a deficient number, since it is larger than the sum of its proper divisors (15166916385).

34125561837 is a wasteful number, since it uses less digits than its factorization.

34125561837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791729099 (or 3791729096 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 34125561837 in words is "thirty-four billion, one hundred twenty-five million, five hundred sixty-one thousand, eight hundred thirty-seven".

Divisors: 1 3 9 3791729093 11375187279 34125561837