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34106151277 = 115937576907
BaseRepresentation
bin11111110000111000…
…101001000101101101
310021000220202000000001
4133300320221011231
51024322133320102
623400153104301
72315116334242
oct376070510555
9107026660001
1034106151277
1113512040290
12673a0b8091
1332a6ca2103
1419179115c9
15d4936b487
hex7f0e2916d

34106151277 has 16 divisors (see below), whose sum is σ = 37324089792. Its totient is φ = 30907941120.

The previous prime is 34106151221. The next prime is 34106151311. The reversal of 34106151277 is 77215160143.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34106151277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34106551277) 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 15 ways as a sum of consecutive naturals, for example, 4934458 + ... + 4941364.

It is an arithmetic number, because the mean of its divisors is an integer number (2332755612).

Almost surely, 234106151277 is an apocalyptic number.

It is an amenable number.

34106151277 is a deficient number, since it is larger than the sum of its proper divisors (3217938515).

34106151277 is a wasteful number, since it uses less digits than its factorization.

34106151277 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8268.

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 34106151277 in words is "thirty-four billion, one hundred six million, one hundred fifty-one thousand, two hundred seventy-seven".

Divisors: 1 11 593 757 6523 6907 8327 75977 448901 4095851 4937911 5228599 45054361 57514589 3100559207 34106151277