Search a number
-
+
137889133431 = 376566149211
BaseRepresentation
bin1000000001101011010…
…1010011001101110111
3111011220201201202011220
42000122311103031313
54224344104232211
6143202334401423
712651010203240
oct2003265231567
9434821652156
10137889133431
1153529903915
1222882960273
131000646b01a
146961153cc7
1538c075e806
hex201ad53377

137889133431 has 8 divisors (see below), whose sum is σ = 210116774784. Its totient is φ = 78793790520.

The previous prime is 137889133427. The next prime is 137889133471. The reversal of 137889133431 is 134331988731.

It is a happy number.

137889133431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 137889133431 - 22 = 137889133427 is a prime.

It is a super-4 number, since 4×1378891334314 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137889133471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3283074585 + ... + 3283074626.

It is an arithmetic number, because the mean of its divisors is an integer number (26264596848).

Almost surely, 2137889133431 is an apocalyptic number.

137889133431 is a deficient number, since it is larger than the sum of its proper divisors (72227641353).

137889133431 is an equidigital number, since it uses as much as digits as its factorization.

137889133431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6566149221.

The product of its digits is 1306368, while the sum is 51.

The spelling of 137889133431 in words is "one hundred thirty-seven billion, eight hundred eighty-nine million, one hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 3 7 21 6566149211 19698447633 45963044477 137889133431