Search a number
-
+
137406627856 = 24926712
BaseRepresentation
bin111111111111000010…
…0101100000000010000
3111010200002210220222001
41333332010230000100
54222402044042411
6143042420523344
712633031031401
oct1777604540020
9433602726861
10137406627856
1153301506283
1222769250554
13cc5a4cca74
1469170339a8
1538931eedc1
hex1ffe12c010

137406627856 has 15 divisors (see below), whose sum is σ = 266228214303. Its totient is φ = 68702572560.

The previous prime is 137406627823. The next prime is 137406627857. The reversal of 137406627856 is 658726604731.

The square root of 137406627856 is 370684.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137406627797 and 137406627806.

It is not an unprimeable number, because it can be changed into a prime (137406627857) 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 2 ways as a sum of consecutive naturals, for example, 1436401 + ... + 1529071.

Almost surely, 2137406627856 is an apocalyptic number.

137406627856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

137406627856 is the 370684-th square number.

It is an amenable number.

137406627856 is a deficient number, since it is larger than the sum of its proper divisors (128821586447).

137406627856 is an frugal number, since it uses more digits than its factorization.

137406627856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185350 (or 92673 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 55.

The spelling of 137406627856 in words is "one hundred thirty-seven billion, four hundred six million, six hundred twenty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 92671 185342 370684 741368 1482736 8587914241 17175828482 34351656964 68703313928 137406627856