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34216622145 = 3251037382227
BaseRepresentation
bin11111110111011110…
…000011100001000001
310021022121121111112200
4133313132003201001
51030033423402040
623415140543413
72320630326606
oct376736034101
9107277544480
1034216622145
1113569433722
12676b0b1b69
1332c3b408a4
14192846a6ad
15d53ddd630
hex7f7783841

34216622145 has 24 divisors (see below), whose sum is σ = 59884633536. Its totient is φ = 18071689248.

The previous prime is 34216622117. The next prime is 34216622147. The reversal of 34216622145 is 54122661243.

34216622145 is a `hidden beast` number, since 3 + 4 + 2 + 16 + 622 + 14 + 5 = 666.

It is not a de Polignac number, because 34216622145 - 213 = 34216613953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34216622147) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3686479 + ... + 3695748.

It is an arithmetic number, because the mean of its divisors is an integer number (2495193064).

Almost surely, 234216622145 is an apocalyptic number.

It is an amenable number.

34216622145 is a deficient number, since it is larger than the sum of its proper divisors (25668011391).

34216622145 is a wasteful number, since it uses less digits than its factorization.

34216622145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7382341 (or 7382338 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 34216622145 in words is "thirty-four billion, two hundred sixteen million, six hundred twenty-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 103 309 515 927 1545 4635 7382227 22146681 36911135 66440043 110733405 332200215 760369381 2281108143 3801846905 6843324429 11405540715 34216622145