Search a number
-
+
137668004348 = 22753101918497
BaseRepresentation
bin1000000000110110100…
…1110000100111111100
3111011100022122020002212
42000031221300213330
54223421002114343
6143124355035552
712642353505110
oct2001551604774
9434308566085
10137668004348
1153425aaa306
122282089bbb8
13cc9c6c6704
14693da31740
1538ab12ec18
hex200da709fc

137668004348 has 48 divisors (see below), whose sum is σ = 283308871104. Its totient is φ = 57314150400.

The previous prime is 137668004347. The next prime is 137668004363. The reversal of 137668004348 is 843400866731.

137668004348 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 137668004296 and 137668004305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137668004347) 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, 309365 + ... + 609132.

It is an arithmetic number, because the mean of its divisors is an integer number (5902268148).

Almost surely, 2137668004348 is an apocalyptic number.

It is an amenable number.

137668004348 is an abundant number, since it is smaller than the sum of its proper divisors (145640866756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137668004348 is a wasteful number, since it uses less digits than its factorization.

137668004348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918662 (or 918660 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 50.

The spelling of 137668004348 in words is "one hundred thirty-seven billion, six hundred sixty-eight million, four thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 28 53 101 106 202 212 371 404 707 742 1414 1484 2828 5353 10706 21412 37471 74942 149884 918497 1836994 3673988 6429479 12858958 25717916 48680341 92768197 97360682 185536394 194721364 340762387 371072788 649377379 681524774 1298754758 1363049548 2597509516 4916714441 9833428882 19666857764 34417001087 68834002174 137668004348