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34506116983 = 132533852419
BaseRepresentation
bin100000001000101110…
…011000111101110111
310022001210100100210201
4200020232120331313
51031132031220413
623504001501331
72331044104102
oct401056307567
9108053310721
1034506116983
11136a7892458
126830041847
13333bb00c00
141954aa7739
15d6e5249dd
hex808b98f77

34506116983 has 12 divisors (see below), whose sum is σ = 38069614440. Its totient is φ = 31250814816.

The previous prime is 34506116977. The next prime is 34506117031. The reversal of 34506116983 is 38961160543.

34506116983 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-34506116983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34506116483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1917253 + ... + 1935166.

It is an arithmetic number, because the mean of its divisors is an integer number (3172467870).

Almost surely, 234506116983 is an apocalyptic number.

34506116983 is a deficient number, since it is larger than the sum of its proper divisors (3563497457).

34506116983 is a wasteful number, since it uses less digits than its factorization.

34506116983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852498 (or 3852485 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 34506116983 in words is "thirty-four billion, five hundred six million, one hundred sixteen thousand, nine hundred eighty-three".

Divisors: 1 13 53 169 689 8957 3852419 50081447 204178207 651058811 2654316691 34506116983