Search a number
-
+
346691790137 = 71119773306563
BaseRepresentation
bin1010000101110000111…
…00001110010100111001
31020010212112202201120202
411002320130032110321
521140011044241022
6423133520131545
734022226410360
oct5027034162471
91203775681522
10346691790137
11124038528310
1257236466bb5
13269013a34b4
1412acc35a7d7
1590418cd592
hex50b870e539

346691790137 has 32 divisors (see below), whose sum is σ = 455578629120. Its totient is φ = 255599133120.

The previous prime is 346691790127. The next prime is 346691790157. The reversal of 346691790137 is 731097196643.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 346691790137 - 216 = 346691724601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (346691790127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 977618 + ... + 1284180.

It is an arithmetic number, because the mean of its divisors is an integer number (14236832160).

Almost surely, 2346691790137 is an apocalyptic number.

It is an amenable number.

346691790137 is a deficient number, since it is larger than the sum of its proper divisors (108886838983).

346691790137 is a wasteful number, since it uses less digits than its factorization.

346691790137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307373.

The product of its (nonzero) digits is 5143824, while the sum is 56.

The spelling of 346691790137 in words is "three hundred forty-six billion, six hundred ninety-one million, seven hundred ninety thousand, one hundred thirty-seven".

Divisors: 1 7 11 19 77 133 209 773 1463 5411 8503 14687 59521 102809 161557 306563 1130899 2145941 3372193 5824697 23605351 40772879 64071667 236973199 448501669 1658812393 2606705189 4502490781 18246936323 31517435467 49527398591 346691790137