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34816972805 = 5313719993037
BaseRepresentation
bin100000011011010000…
…001101100000000101
310022212110021110211022
4200123100031200011
51032301121112210
623554504320525
72341540246226
oct403320154005
9108773243738
1034816972805
1113847300a9a
1268b8173145
13338b32cc74
1419840a524d
15d8b97a155
hex81b40d805

34816972805 has 32 divisors (see below), whose sum is σ = 44330496000. Its totient is φ = 26204808960.

The previous prime is 34816972759. The next prime is 34816972811. The reversal of 34816972805 is 50827961843.

It is not a de Polignac number, because 34816972805 - 212 = 34816968709 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11462747 + ... + 11465783.

It is an arithmetic number, because the mean of its divisors is an integer number (1385328000).

It is a 1-persistent number, because it is pandigital, but 2⋅34816972805 = 69633945610 is not.

Almost surely, 234816972805 is an apocalyptic number.

It is an amenable number.

34816972805 is a deficient number, since it is larger than the sum of its proper divisors (9513523195).

34816972805 is a wasteful number, since it uses less digits than its factorization.

34816972805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5109.

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 34816972805 in words is "thirty-four billion, eight hundred sixteen million, nine hundred seventy-two thousand, eight hundred five".

Divisors: 1 5 31 37 155 185 1147 1999 3037 5735 9995 15185 61969 73963 94147 112369 309845 369815 470735 561845 2292853 3483439 6070963 11464265 17417195 30354815 188199853 224625631 940999265 1123128155 6963394561 34816972805