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345246642543 = 31137282757283
BaseRepresentation
bin1010000011000100100…
…11011011000101101111
31020000010211110121202210
411001202103123011233
521124031120030133
6422334253421503
733641351020155
oct5014223330557
91200124417683
10345246642543
11123466802560
1256ab249a893
1326730b7818a
14129d24553d5
158ea9abb763
hex50624db16f

345246642543 has 16 divisors (see below), whose sum is σ = 515749286016. Its totient is φ = 203585243040.

The previous prime is 345246642523. The next prime is 345246642569.

345246642543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345246642543 - 25 = 345246642511 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 345246642492 and 345246642501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345246642523) 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 15 ways as a sum of consecutive naturals, for example, 141377421 + ... + 141379862.

It is an arithmetic number, because the mean of its divisors is an integer number (32234330376).

Almost surely, 2345246642543 is an apocalyptic number.

345246642543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

345246642543 is a deficient number, since it is larger than the sum of its proper divisors (170502643473).

345246642543 is a wasteful number, since it uses less digits than its factorization.

345246642543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282757334.

The product of its digits is 8294400, while the sum is 48.

It can be divided in two parts, 345246 and 642543, that added together give a palindrome (987789).

The spelling of 345246642543 in words is "three hundred forty-five billion, two hundred forty-six million, six hundred forty-two thousand, five hundred forty-three".

Divisors: 1 3 11 33 37 111 407 1221 282757283 848271849 3110330113 9330990339 10462019471 31386058413 115082214181 345246642543