Search a number
-
+
137438954868 = 22317673720367
BaseRepresentation
bin1000000000000000000…
…0000000010101110100
3111010202100122022021210
42000000000000111310
54222433333023433
6143045533441420
712633602561265
oct2000000002564
9433670568253
10137438954868
1153318786016
1222778040270
13cc6410ac87
14691b44a96c
153895e88463
hex2000000574

137438954868 has 24 divisors (see below), whose sum is σ = 339555065472. Its totient is φ = 43118103424.

The previous prime is 137438954867. The next prime is 137438954879. The reversal of 137438954868 is 868459834731.

137438954868 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 = 137438954799 and 137438954808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137438954867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 336859980 + ... + 336860387.

It is an arithmetic number, because the mean of its divisors is an integer number (14148127728).

Almost surely, 2137438954868 is an apocalyptic number.

It is an amenable number.

137438954868 is an abundant number, since it is smaller than the sum of its proper divisors (202116110604).

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

137438954868 is a wasteful number, since it uses less digits than its factorization.

137438954868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673720391 (or 673720389 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 66.

The spelling of 137438954868 in words is "one hundred thirty-seven billion, four hundred thirty-eight million, nine hundred fifty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 673720367 1347440734 2021161101 2694881468 4042322202 8084644404 11453246239 22906492478 34359738717 45812984956 68719477434 137438954868