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34013253505 = 5711831064411
BaseRepresentation
bin11111101011010110…
…010000111110000001
310020210102221022012211
4133223112100332001
51024124343103010
623343034022121
72312610612250
oct375326207601
9106712838184
1034013253505
111347465a870
126712b77941
13329097720a
14190944c797
15d4111b08a
hex7eb590f81

34013253505 has 32 divisors (see below), whose sum is σ = 51500510208. Its totient is φ = 20947588800.

The previous prime is 34013253479. The next prime is 34013253511. The reversal of 34013253505 is 50535231043.

It is not a de Polignac number, because 34013253505 - 29 = 34013252993 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 500251 + ... + 564160.

It is an arithmetic number, because the mean of its divisors is an integer number (1609390944).

Almost surely, 234013253505 is an apocalyptic number.

34013253505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34013253505 is a deficient number, since it is larger than the sum of its proper divisors (17487256703).

34013253505 is a wasteful number, since it uses less digits than its factorization.

34013253505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064517.

The product of its (nonzero) digits is 27000, while the sum is 31.

Adding to 34013253505 its reverse (50535231043), we get a palindrome (84548484548).

The spelling of 34013253505 in words is "thirty-four billion, thirteen million, two hundred fifty-three thousand, five hundred five".

Divisors: 1 5 7 11 35 55 77 83 385 415 581 913 2905 4565 6391 31955 1064411 5322055 7450877 11708521 37254385 58542605 81959647 88346113 409798235 441730565 618422791 971807243 3092113955 4859036215 6802650701 34013253505