Search a number
-
+
1780126666253 = 13178054871793
BaseRepresentation
bin11001111001110111110…
…100010100111000001101
320022011211002101012122122
4121321313310110320031
5213131144411310003
63441440124222325
7242416125001355
oct31716764247015
96264732335578
101780126666253
11626a47105921
1224900099a9a5
13cbb32b89820
1462231259b65
1531489ead238
hex19e77d14e0d

1780126666253 has 8 divisors (see below), whose sum is σ = 2029827692088. Its totient is φ = 1546535384064.

The previous prime is 1780126666223. The next prime is 1780126666261. The reversal of 1780126666253 is 3526666210871.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2645764969 + 1777480901284 = 51437^2 + 1333222^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1780126666253 - 218 = 1780126404109 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1780126666195 and 1780126666204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1780126666223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4027435676 + ... + 4027436117.

It is an arithmetic number, because the mean of its divisors is an integer number (253728461511).

Almost surely, 21780126666253 is an apocalyptic number.

1780126666253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1780126666253 is a deficient number, since it is larger than the sum of its proper divisors (249701025835).

1780126666253 is a wasteful number, since it uses less digits than its factorization.

1780126666253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8054871823.

The product of its (nonzero) digits is 4354560, while the sum is 53.

The spelling of 1780126666253 in words is "one trillion, seven hundred eighty billion, one hundred twenty-six million, six hundred sixty-six thousand, two hundred fifty-three".

Divisors: 1 13 17 221 8054871793 104713333309 136932820481 1780126666253