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34135313425 = 527917996557
BaseRepresentation
bin11111110010100111…
…111000110000010001
310021002221121120221121
4133302213320300101
51024402120012200
623403114122241
72315622243133
oct376247706021
9107087546847
1034135313425
1113527549234
126747a20381
1332b0042915
14191b743053
15d4bbcbe1a
hex7f29f8c11

34135313425 has 24 divisors (see below), whose sum is σ = 43103491200. Its totient is φ = 26811670080.

The previous prime is 34135313411. The next prime is 34135313441. The reversal of 34135313425 is 52431353143.

It is not a de Polignac number, because 34135313425 - 215 = 34135280657 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 23 ways as a sum of consecutive naturals, for example, 305247 + ... + 401803.

It is an arithmetic number, because the mean of its divisors is an integer number (1795978800).

Almost surely, 234135313425 is an apocalyptic number.

It is an amenable number.

34135313425 is a deficient number, since it is larger than the sum of its proper divisors (8968177775).

34135313425 is a wasteful number, since it uses less digits than its factorization.

34135313425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96825 (or 96820 counting only the distinct ones).

The product of its digits is 64800, while the sum is 34.

Adding to 34135313425 its reverse (52431353143), we get a palindrome (86566666568).

The spelling of 34135313425 in words is "thirty-four billion, one hundred thirty-five million, three hundred thirteen thousand, four hundred twenty-five".

Divisors: 1 5 25 79 179 395 895 1975 4475 14141 70705 96557 353525 482785 2413925 7628003 17283703 38140015 86418515 190700075 432092575 1365412537 6827062685 34135313425