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3423976186813 = 721373511314401
BaseRepresentation
bin110001110100110100111…
…000100110001110111101
3110010022212210021010120221
4301310310320212032331
5422044300400434223
611140541500341341
7502242215245300
oct61646470461675
913108783233527
103423976186813
1111001113270a6
1247370a844851
131bab5854a620
14bba15496b37
155e0eaec7b5d
hex31d34e263bd

3423976186813 has 48 divisors (see below), whose sum is σ = 4349287747056. Its totient is φ = 2671261286400.

The previous prime is 3423976186789. The next prime is 3423976186831. The reversal of 3423976186813 is 3186816793243.

It is a happy number.

3423976186813 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 49267573369 + 3374708613444 = 221963^2 + 1837038^2 .

It is not a de Polignac number, because 3423976186813 - 217 = 3423976055741 is a prime.

It is a super-2 number, since 2×34239761868132 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3423976286813) 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 47 ways as a sum of consecutive naturals, for example, 237752413 + ... + 237766813.

It is an arithmetic number, because the mean of its divisors is an integer number (90610161397).

Almost surely, 23423976186813 is an apocalyptic number.

It is an amenable number.

3423976186813 is a deficient number, since it is larger than the sum of its proper divisors (925311560243).

3423976186813 is a wasteful number, since it uses less digits than its factorization.

3423976186813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19614 (or 19607 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 61.

The spelling of 3423976186813 in words is "three trillion, four hundred twenty-three billion, nine hundred seventy-six million, one hundred eighty-six thousand, eight hundred thirteen".

Divisors: 1 7 13 49 73 91 511 637 949 3577 5113 6643 14401 35791 46501 66469 100807 187213 250537 373249 465283 705649 1051273 1310491 2612743 3256981 4852237 7358911 9173437 13666549 18289201 33965659 51512377 73632313 95665843 237759613 515426191 669660901 957220069 3607983337 5375158849 6700540483 37626111943 46903783381 69877065037 263382783601 489139455259 3423976186813