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12434065217 = 73172132407
BaseRepresentation
bin10111001010010000…
…01100011101000001
31012002112212221212222
423211020030131001
5200431110041332
65413453100425
7620061545000
oct134510143501
935075787788
1012434065217
115300784262
1224b0187715
131232072552
1485d52cc37
154cb912712
hex2e520c741

12434065217 has 16 divisors (see below), whose sum is σ = 15353337600. Its totient is φ = 10030837824.

The previous prime is 12434065211. The next prime is 12434065223. The reversal of 12434065217 is 71256043421.

It is an interprime number because it is at equal distance from previous prime (12434065211) and next prime (12434065223).

It is not a de Polignac number, because 12434065217 - 212 = 12434061121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12434065211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1060373 + ... + 1072034.

It is an arithmetic number, because the mean of its divisors is an integer number (959583600).

Almost surely, 212434065217 is an apocalyptic number.

12434065217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12434065217 is a deficient number, since it is larger than the sum of its proper divisors (2919272383).

12434065217 is an equidigital number, since it uses as much as digits as its factorization.

12434065217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132445 (or 2132431 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 12434065217 in words is "twelve billion, four hundred thirty-four million, sixty-five thousand, two hundred seventeen".

Divisors: 1 7 17 49 119 343 833 5831 2132407 14926849 36250919 104487943 253756433 731415601 1776295031 12434065217