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345522225543 = 31125711666991
BaseRepresentation
bin1010000011100101011…
…10101100000110000111
31020000212001000200120120
411001302232230012013
521130112142204133
6422421500233023
733651235313145
oct5016256540607
91200761020516
10345522225543
1112359831a100
1256b6a83b773
1326775ca7241
1412a1acb0595
158ec3da5ab3
hex5072bac187

345522225543 has 24 divisors (see below), whose sum is σ = 507272333568. Its totient is φ = 209040546000.

The previous prime is 345522225493. The next prime is 345522225551.

345522225543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345522225543 - 26 = 345522225479 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 345522225495 and 345522225504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345522225553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626223 + ... + 1040768.

It is an arithmetic number, because the mean of its divisors is an integer number (21136347232).

Almost surely, 2345522225543 is an apocalyptic number.

345522225543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

345522225543 is a deficient number, since it is larger than the sum of its proper divisors (161750108025).

345522225543 is a wasteful number, since it uses less digits than its factorization.

345522225543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667587 (or 1667576 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 42.

The spelling of 345522225543 in words is "three hundred forty-five billion, five hundred twenty-two million, two hundred twenty-five thousand, five hundred forty-three".

Divisors: 1 3 11 33 121 363 571 1713 6281 18843 69091 207273 1666991 5000973 18336901 55010703 201705911 605117733 951851861 2855555583 10470370471 31411111413 115174075181 345522225543