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34554133145543 = 1153294732010977
BaseRepresentation
bin1111101101101010000101…
…10101001110011111000111
311112100100020221122220002012
413312311002311032133013
514012113331041124133
6201253541041404435
710164311426412524
oct766650265163707
9145310227586065
1034554133145543
1110012364377630
123a609a533971b
1316385964c42cb
1487660113214b
153edc74032b48
hex1f6d42d4e7c7

34554133145543 has 16 divisors (see below), whose sum is σ = 38407974490656. Its totient is φ = 30819092029440.

The previous prime is 34554133145531. The next prime is 34554133145561.

34554133145543 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-34554133145543 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34554133145491 and 34554133145500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34554133145843) 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, 16177271 + ... + 18188247.

It is an arithmetic number, because the mean of its divisors is an integer number (2400498405666).

Almost surely, 234554133145543 is an apocalyptic number.

34554133145543 is a deficient number, since it is larger than the sum of its proper divisors (3853841345113).

34554133145543 is a wasteful number, since it uses less digits than its factorization.

34554133145543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040514.

The product of its digits is 12960000, while the sum is 50.

The spelling of 34554133145543 in words is "thirty-four trillion, five hundred fifty-four billion, one hundred thirty-three million, one hundred forty-five thousand, five hundred forty-three".

Divisors: 1 11 53 583 29473 324203 1562069 2010977 17182759 22120747 106581781 1172399591 59269525121 651964776331 3141284831413 34554133145543