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34222606461 = 334726968169
BaseRepresentation
bin11111110111110100…
…111000100001111101
310021100000212112111000
4133313310320201331
51030041441401321
623415513120513
72321032232601
oct376764704175
9107300775430
1034222606461
111357185083a
1267710b9139
1332c51576c4
141929187501
15d546c1826
hex7f7d3887d

34222606461 has 16 divisors (see below), whose sum is σ = 51778886400. Its totient is φ = 22329643104.

The previous prime is 34222606441. The next prime is 34222606493. The reversal of 34222606461 is 16460622243.

34222606461 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 2 + 6 + 0 + 646 + 1 = 666.

It is not a de Polignac number, because 34222606461 - 231 = 32075122813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34222606441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13482816 + ... + 13485353.

It is an arithmetic number, because the mean of its divisors is an integer number (3236180400).

Almost surely, 234222606461 is an apocalyptic number.

It is an amenable number.

34222606461 is a deficient number, since it is larger than the sum of its proper divisors (17556279939).

34222606461 is a wasteful number, since it uses less digits than its factorization.

34222606461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26968225 (or 26968219 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 34222606461 in words is "thirty-four billion, two hundred twenty-two million, six hundred six thousand, four hundred sixty-one".

Divisors: 1 3 9 27 47 141 423 1269 26968169 80904507 242713521 728140563 1267503943 3802511829 11407535487 34222606461