Search a number
-
+
2723976680001 = 317193147295849
BaseRepresentation
bin100111101000111001101…
…010011001001001000001
3100122102001121200210101020
4213220321222121021001
5324112201012230001
65443213321500053
7400541452514523
oct47507152311101
910572047623336
102723976680001
11960260904aa5
1237bb12341629
13169b40224015
1495bac27da13
154accbebb736
hex27a39a99241

2723976680001 has 32 divisors (see below), whose sum is σ = 3849077232000. Its totient is φ = 1707623485440.

The previous prime is 2723976679961. The next prime is 2723976680011. The reversal of 2723976680001 is 1000866793272.

It is not a de Polignac number, because 2723976680001 - 27 = 2723976679873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (2723976680011) 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 31 ways as a sum of consecutive naturals, for example, 465713725 + ... + 465719573.

It is an arithmetic number, because the mean of its divisors is an integer number (120283663500).

Almost surely, 22723976680001 is an apocalyptic number.

It is an amenable number.

2723976680001 is a deficient number, since it is larger than the sum of its proper divisors (1125100551999).

2723976680001 is a wasteful number, since it uses less digits than its factorization.

2723976680001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12529.

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 2723976680001 in words is "two trillion, seven hundred twenty-three billion, nine hundred seventy-six million, six hundred eighty thousand, one".

Divisors: 1 3 17 51 1931 4729 5793 5849 14187 17547 32827 80393 98481 99433 241179 298299 9131699 11294419 27395097 27659921 33883257 82979763 155238883 192005123 465716649 470218657 576015369 1410655971 53411307451 160233922353 907992226667 2723976680001