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34116931476 = 2232947692541
BaseRepresentation
bin11111110001100001…
…110000111110010100
310021001200000200122200
4133301201300332110
51024332413301401
623401220124500
72315310063345
oct376141607624
9107050020580
1034116931476
1113518133641
126741836730
1332a92a7b24
14191911a0cc
15d4a29a686
hex7f1870f94

34116931476 has 18 divisors (see below), whose sum is σ = 86240021322. Its totient is φ = 11372310480.

The previous prime is 34116931417. The next prime is 34116931483. The reversal of 34116931476 is 67413961143.

34116931476 is a `hidden beast` number, since 3 + 411 + 6 + 93 + 147 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28993235076 + 5123696400 = 170274^2 + 71580^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 473846235 + ... + 473846306.

Almost surely, 234116931476 is an apocalyptic number.

34116931476 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34116931476 is an abundant number, since it is smaller than the sum of its proper divisors (52123089846).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34116931476 is a wasteful number, since it uses less digits than its factorization.

34116931476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947692551 (or 947692546 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 34116931476 in words is "thirty-four billion, one hundred sixteen million, nine hundred thirty-one thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 947692541 1895385082 2843077623 3790770164 5686155246 8529232869 11372310492 17058465738 34116931476