Search a number
-
+
137806006523 = 2314941995971
BaseRepresentation
bin1000000001010111100…
…0001100100011111011
3111011200221022110111112
42000111320030203323
54224211314202043
6143150204550535
712645650504603
oct2002570144373
9434627273445
10137806006523
1153496997399
122285ab5244b
13ccc21845c3
1469540b5c03
1538b82de518
hex2015e0c8fb

137806006523 has 16 divisors (see below), whose sum is σ = 145109664000. Its totient is φ = 130615937760.

The previous prime is 137806006451. The next prime is 137806006537. The reversal of 137806006523 is 325600608731.

It is a cyclic number.

It is not a de Polignac number, because 137806006523 - 210 = 137806005499 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137806006553) 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 15 ways as a sum of consecutive naturals, for example, 1387928 + ... + 1483898.

It is an arithmetic number, because the mean of its divisors is an integer number (9069354000).

Almost surely, 2137806006523 is an apocalyptic number.

137806006523 is a deficient number, since it is larger than the sum of its proper divisors (7303657477).

137806006523 is a wasteful number, since it uses less digits than its factorization.

137806006523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96562.

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 137806006523 in words is "one hundred thirty-seven billion, eight hundred six million, six thousand, five hundred twenty-three".

Divisors: 1 23 149 419 3427 9637 62431 95971 1435913 2207333 14299679 40211849 328892617 924872527 5991565501 137806006523