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13006230174 = 2327365928211
BaseRepresentation
bin11000001110011101…
…10101001010011110
31020120102111221122200
430013032311022132
5203114043331144
65550332352330
7640210063260
oct140716651236
936512457580
1013006230174
115574750263
12262b9156a6
1312c37736b2
148b550bb30
15511c82c69
hex3073b529e

13006230174 has 48 divisors (see below), whose sum is σ = 32215847040. Its totient is φ = 3714918480.

The previous prime is 13006230169. The next prime is 13006230179. The reversal of 13006230174 is 47103260031.

13006230174 is a `hidden beast` number, since 1 + 30 + 0 + 623 + 0 + 1 + 7 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13006230169) and next prime (13006230179).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13006230179) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 446929 + ... + 475139.

It is an arithmetic number, because the mean of its divisors is an integer number (671163480).

Almost surely, 213006230174 is an apocalyptic number.

13006230174 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13006230174 is an abundant number, since it is smaller than the sum of its proper divisors (19209616866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13006230174 is a wasteful number, since it uses less digits than its factorization.

13006230174 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31885 (or 31882 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 13006230174 in words is "thirteen billion, six million, two hundred thirty thousand, one hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 3659 7318 10977 21954 25613 28211 32931 51226 56422 65862 76839 84633 153678 169266 197477 230517 253899 394954 461034 507798 592431 1184862 1777293 3554586 103224049 206448098 309672147 619344294 722568343 929016441 1445136686 1858032882 2167705029 4335410058 6503115087 13006230174