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345245626542543 = 34153271557350851
BaseRepresentation
bin100111001111111111100001…
…0111011100010100111001111
31200021102011022022122220221020
41032133333002323202213033
5330223001020343330133
63222135352402205223
7132502113320466006
oct11637770273424717
91607364268586836
10345245626542543
11a0007936714a51
123287aab9953813
1311a846a4a23a6c
146137d982ddc3d
1529da96eb720b3
hex139ffc2ee29cf

345245626542543 has 64 divisors (see below), whose sum is σ = 483092284114944. Its totient is φ = 219105544320000.

The previous prime is 345245626542541. The next prime is 345245626542559.

345245626542543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345245626542543 - 21 = 345245626542541 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345245626542541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 983848068 + ... + 984198918.

It is an arithmetic number, because the mean of its divisors is an integer number (7548316939296).

Almost surely, 2345245626542543 is an apocalyptic number.

345245626542543 is a deficient number, since it is larger than the sum of its proper divisors (137846657572401).

345245626542543 is a wasteful number, since it uses less digits than its factorization.

345245626542543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351776.

The product of its digits is 414720000, while the sum is 60.

The spelling of 345245626542543 in words is "three hundred forty-five trillion, two hundred forty-five billion, six hundred twenty-six million, five hundred forty-two thousand, five hundred forty-three".

Divisors: 1 3 41 53 123 159 271 557 813 1671 2173 6519 11111 14363 22837 29521 33333 43089 68511 88563 150947 350851 452841 588883 1052553 1210361 1766649 3631083 6188827 8000191 14384891 18566481 18595103 24000573 43154673 55785309 95080621 195424007 285241863 328007831 586272021 762399223 984023493 2287197669 3898305461 5039272913 8012384287 10357472371 11694916383 15117818739 24037152861 31072417113 52959905897 158879717691 206610189433 424656367211 619830568299 1273969101633 2171356141777 2806875012541 6514068425331 8420625037623 115081875514181 345245626542543