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34126517901 = 372571406573
BaseRepresentation
bin11111110010000110…
…010101011010001101
310021002100001201202110
4133302012111122031
51024342342033101
623402201414233
72315454421200
oct376206253215
9107070051673
1034126517901
1113522591003
126744a9a379
1332ab283378
14191a4d3937
15d4b040cd6
hex7f219568d

34126517901 has 24 divisors (see below), whose sum is σ = 53023754784. Its totient is φ = 19466667360.

The previous prime is 34126517897. The next prime is 34126517903. The reversal of 34126517901 is 10971562143.

It is not a de Polignac number, because 34126517901 - 22 = 34126517897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34126517901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34126517903) 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, 119350 + ... + 287223.

It is an arithmetic number, because the mean of its divisors is an integer number (2209323116).

Almost surely, 234126517901 is an apocalyptic number.

It is an amenable number.

34126517901 is a deficient number, since it is larger than the sum of its proper divisors (18897236883).

34126517901 is a wasteful number, since it uses less digits than its factorization.

34126517901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407161 (or 407154 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 34126517901 in words is "thirty-four billion, one hundred twenty-six million, five hundred seventeen thousand, nine hundred one".

Divisors: 1 3 7 21 49 147 571 1713 3997 11991 27979 83937 406573 1219719 2846011 8538033 19922077 59766231 232153183 696459549 1625072281 4875216843 11375505967 34126517901