Search a number
-
+
137637627801 = 32319131042733
BaseRepresentation
bin1000000000101111010…
…1111000011110011001
3111011021012110221022120
42000023311320132121
54223340213042201
6143121352011453
712641534350542
oct2001365703631
9434235427276
10137637627801
115340a941a23
1222812690b89
13cc9631c21b
1469399a54c9
1538a862e536
hex200bd78799

137637627801 has 16 divisors (see below), whose sum is σ = 191596116096. Its totient is φ = 87722957696.

The previous prime is 137637627763. The next prime is 137637627821. The reversal of 137637627801 is 108726736731.

It is a cyclic number.

It is not a de Polignac number, because 137637627801 - 26 = 137637627737 is a prime.

It is a super-3 number, since 3×1376376278013 (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137637627821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389370 + ... + 653363.

It is an arithmetic number, because the mean of its divisors is an integer number (11974757256).

Almost surely, 2137637627801 is an apocalyptic number.

It is an amenable number.

137637627801 is a deficient number, since it is larger than the sum of its proper divisors (53958488295).

137637627801 is a wasteful number, since it uses less digits than its factorization.

137637627801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044672.

The product of its (nonzero) digits is 1778112, while the sum is 51.

The spelling of 137637627801 in words is "one hundred thirty-seven billion, six hundred thirty-seven million, six hundred twenty-seven thousand, eight hundred one".

Divisors: 1 3 23 69 1913 5739 43999 131997 1042733 3128199 23982859 71948577 1994748229 5984244687 45879209267 137637627801