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12429435836097 = 34765533345247
BaseRepresentation
bin1011010011011111010000…
…0110111001011011000001
31122000020112202100212210000
42310313310012321123001
53112120441033223342
642234000510230213
72421666002256450
oct264676406713301
948006482325700
1012429435836097
113a62326549575
121488aa8ab5369
136c2124563907
1430d8332d0b97
151684b8b5344c
hexb4df41b96c1

12429435836097 has 40 divisors (see below), whose sum is σ = 21223163219456. Its totient is φ = 7101448780608.

The previous prime is 12429435836053. The next prime is 12429435836119. The reversal of 12429435836097 is 79063853492421.

12429435836097 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 9 + 43 + 583 + 6 + 0 + 9 + 7 = 666.

It is not a de Polignac number, because 12429435836097 - 28 = 12429435835841 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12429435836897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2042928 + ... + 5388174.

It is a 1-persistent number, because it is pandigital, but 2⋅12429435836097 = 24858871672194 is not.

Almost surely, 212429435836097 is an apocalyptic number.

It is an amenable number.

12429435836097 is a deficient number, since it is larger than the sum of its proper divisors (8793727383359).

12429435836097 is an equidigital number, since it uses as much as digits as its factorization.

12429435836097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351819 (or 3351810 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 12429435836097 in words is "twelve trillion, four hundred twenty-nine billion, four hundred thirty-five million, eight hundred thirty-six thousand, ninety-seven".

Divisors: 1 3 7 9 21 27 63 81 189 567 6553 19659 45871 58977 137613 176931 412839 530793 1238517 3345247 3715551 10035741 23416729 30107223 70250187 90321669 210750561 270965007 632251683 1896755049 21921403591 65764210773 153449825137 197292632319 460349475411 591877896957 1381048426233 1775633690871 4143145278699 12429435836097