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34125051205 = 571377116799
BaseRepresentation
bin11111110010000000…
…101111010101000101
310021002020022012211101
4133302000233111011
51024342003114310
623402110140101
72315436102130
oct376200572505
9107066265741
1034125051205
111352177a063
1267444b1631
1332aab8b8bb
14191a231217
15d4ad5143a
hex7f202f545

34125051205 has 16 divisors (see below), whose sum is σ = 47141683200. Its totient is φ = 23229228672.

The previous prime is 34125051179. The next prime is 34125051211. The reversal of 34125051205 is 50215052143.

34125051205 = T140 + T141 + ... + T5893.

It is a cyclic number.

It is not a de Polignac number, because 34125051205 - 25 = 34125051173 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3553605 + ... + 3563194.

It is an arithmetic number, because the mean of its divisors is an integer number (2946355200).

Almost surely, 234125051205 is an apocalyptic number.

34125051205 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34125051205 is a deficient number, since it is larger than the sum of its proper divisors (13016631995).

34125051205 is a wasteful number, since it uses less digits than its factorization.

34125051205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7116948.

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 34125051205 in words is "thirty-four billion, one hundred twenty-five million, fifty-one thousand, two hundred five".

Divisors: 1 5 7 35 137 685 959 4795 7116799 35583995 49817593 249087965 975001463 4875007315 6825010241 34125051205