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34543322334543 = 3113728291009283
BaseRepresentation
bin1111101101010101111100…
…11101010000010101001111
311112022022100112012210100210
413312222332131100111033
514011424211004201133
6201244552212253503
710163446505136231
oct766527635202517
9145268315183323
1034543322334543
1110008816a08290
123a5a888911293
13163756283a219
14875c9742c251
153ed83edb4763
hex1f6abe75054f

34543322334543 has 16 divisors (see below), whose sum is σ = 51602800934016. Its totient is φ = 20369526683040.

The previous prime is 34543322334509. The next prime is 34543322334623.

It is a happy number.

34543322334543 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-34543322334543 is a prime.

It is a super-2 number, since 2×345433223345432 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34543322334492 and 34543322334501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34543322334743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14145503421 + ... + 14145505862.

It is an arithmetic number, because the mean of its divisors is an integer number (3225175058376).

Almost surely, 234543322334543 is an apocalyptic number.

34543322334543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34543322334543 is a deficient number, since it is larger than the sum of its proper divisors (17059478599473).

34543322334543 is a wasteful number, since it uses less digits than its factorization.

34543322334543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28291009334.

The product of its digits is 18662400, while the sum is 48.

It can be divided in two parts, 3454332 and 2334543, that added together give a palindrome (5788875).

The spelling of 34543322334543 in words is "thirty-four trillion, five hundred forty-three billion, three hundred twenty-two million, three hundred thirty-four thousand, five hundred forty-three".

Divisors: 1 3 11 33 37 111 407 1221 28291009283 84873027849 311201102113 933603306339 1046767343471 3140302030413 11514440778181 34543322334543