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34381916075 = 52133712772239
BaseRepresentation
bin100000000001010100…
…100110011110101011
310021202010122022012002
4200001110212132223
51030403232303300
623443403441215
72325005315243
oct400124463653
9107663568162
1034381916075
1113643771481
1267b652620b
13331c165b50
1419423b6b23
15d6368e5d5
hex8015267ab

34381916075 has 48 divisors (see below), whose sum is σ = 47211978240. Its totient is φ = 24673144320.

The previous prime is 34381916029. The next prime is 34381916081. The reversal of 34381916075 is 57061918343.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-34381916075 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15354806 + ... + 15357044.

It is an arithmetic number, because the mean of its divisors is an integer number (983582880).

Almost surely, 234381916075 is an apocalyptic number.

34381916075 is a deficient number, since it is larger than the sum of its proper divisors (12830062165).

34381916075 is a wasteful number, since it uses less digits than its factorization.

34381916075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The spelling of 34381916075 in words is "thirty-four billion, three hundred eighty-one million, nine hundred sixteen thousand, seventy-five".

Divisors: 1 5 13 25 37 65 185 325 481 925 1277 2239 2405 6385 11195 12025 16601 29107 31925 47249 55975 82843 83005 145535 236245 414215 415025 614237 727675 1076959 1181225 2071075 2859203 3071185 5384795 14296015 15355925 26923975 37169639 71480075 105790511 185848195 528952555 929240975 1375276643 2644762775 6876383215 34381916075