Search a number
-
+
2742462324157 is a prime number
BaseRepresentation
bin100111111010000111011…
…111100001110110111101
3100201011202220200210221111
4213322013133201312331
5324413030323333112
65455511513202021
7402064526063023
oct47720737416675
910634686623844
102742462324157
11968087539066
12383611100311
1316b7c7c512ba
1496a433a6713
154b50ed045a7
hex27e877e1dbd

2742462324157 has 2 divisors, whose sum is σ = 2742462324158. Its totient is φ = 2742462324156.

The previous prime is 2742462324097. The next prime is 2742462324193. The reversal of 2742462324157 is 7514232642472.

2742462324157 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2727713193241 + 14749130916 = 1651579^2 + 121446^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2742462324157 is a prime.

It is a super-2 number, since 2×27424623241572 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2742462324157.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2742462324457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1371231162078 + 1371231162079.

It is an arithmetic number, because the mean of its divisors is an integer number (1371231162079).

Almost surely, 22742462324157 is an apocalyptic number.

It is an amenable number.

2742462324157 is a deficient number, since it is larger than the sum of its proper divisors (1).

2742462324157 is an equidigital number, since it uses as much as digits as its factorization.

2742462324157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4515840, while the sum is 49.

The spelling of 2742462324157 in words is "two trillion, seven hundred forty-two billion, four hundred sixty-two million, three hundred twenty-four thousand, one hundred fifty-seven".