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34842914467 = 372395097741
BaseRepresentation
bin100000011100110011…
…001010111010100011
310022221021002110002121
4200130303022322203
51032324241230332
624001232325111
72342303613004
oct403463127243
9108837073077
1034842914467
111385aa0a389
1269049a3797
13339381396a
1419876d91ab
15d8dda1797
hex81cccaea3

34842914467 has 16 divisors (see below), whose sum is σ = 36009590400. Its totient is φ = 33688690560.

The previous prime is 34842914443. The next prime is 34842914479. The reversal of 34842914467 is 76441924843.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34842914467 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34842914767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4497217 + ... + 4504957.

It is an arithmetic number, because the mean of its divisors is an integer number (2250599400).

Almost surely, 234842914467 is an apocalyptic number.

34842914467 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

34842914467 is a deficient number, since it is larger than the sum of its proper divisors (1166675933).

34842914467 is a wasteful number, since it uses less digits than its factorization.

34842914467 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8526.

The product of its digits is 4644864, while the sum is 52.

The spelling of 34842914467 in words is "thirty-four billion, eight hundred forty-two million, nine hundred fourteen thousand, four hundred sixty-seven".

Divisors: 1 37 239 509 7741 8843 18833 121651 286417 1850099 3940169 4501087 68453663 145786253 941700391 34842914467