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34146876105 = 335252939823
BaseRepresentation
bin11111110011010011…
…111111101011001001
310021010202101000222000
4133303103333223021
51024413100013410
623404210021213
72316122441436
oct376323775311
9107122330860
1034146876105
1113533026471
12674b877809
1332b2560844
14191d0b2b8d
15d4cc12dc0
hex7f34ffac9

34146876105 has 16 divisors (see below), whose sum is σ = 60705557760. Its totient is φ = 18211667184.

The previous prime is 34146876103. The next prime is 34146876139. The reversal of 34146876105 is 50167864143.

34146876105 is a `hidden beast` number, since 3 + 414 + 68 + 76 + 105 = 666.

It is not a de Polignac number, because 34146876105 - 21 = 34146876103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34146876103) 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, 126469777 + ... + 126470046.

It is an arithmetic number, because the mean of its divisors is an integer number (3794097360).

Almost surely, 234146876105 is an apocalyptic number.

It is an amenable number.

34146876105 is a deficient number, since it is larger than the sum of its proper divisors (26558681655).

34146876105 is a wasteful number, since it uses less digits than its factorization.

34146876105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252939837 (or 252939831 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 34146876105 in words is "thirty-four billion, one hundred forty-six million, eight hundred seventy-six thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 135 252939823 758819469 1264699115 2276458407 3794097345 6829375221 11382292035 34146876105