Search a number
-
+
137344100778 = 2327630227821
BaseRepresentation
bin111111111101001011…
…0001010100110101010
3111010111202011012221100
41333322112022212222
54222240042211103
6143032304422230
712631341410613
oct1777226124652
9433452135840
10137344100778
115327a189805
1222750317976
13cc4a5797b1
14690c9d8c0a
15388c99d5a3
hex1ffa58a9aa

137344100778 has 12 divisors (see below), whose sum is σ = 297578885058. Its totient is φ = 45781366920.

The previous prime is 137344100771. The next prime is 137344100783. The reversal of 137344100778 is 877001443731.

It is a happy number.

137344100778 is a `hidden beast` number, since 137 + 3 + 441 + 0 + 0 + 7 + 78 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79353199809 + 57990900969 = 281697^2 + 240813^2 .

It is not an unprimeable number, because it can be changed into a prime (137344100771) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3815113893 + ... + 3815113928.

Almost surely, 2137344100778 is an apocalyptic number.

137344100778 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

137344100778 is an abundant number, since it is smaller than the sum of its proper divisors (160234784280).

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

137344100778 is a wasteful number, since it uses less digits than its factorization.

137344100778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7630227829 (or 7630227826 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 137344100778 in words is "one hundred thirty-seven billion, three hundred forty-four million, one hundred thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 9 18 7630227821 15260455642 22890683463 45781366926 68672050389 137344100778