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13234887435 = 3571122114937
BaseRepresentation
bin11000101001101110…
…00101101100001011
31021011100202221110010
430110313011230023
5204101112344220
610025141323003
7645654454440
oct142467055413
937140687403
1013234887435
115681826900
122694406463
13132bc52753
148d7a2d9c7
15526d9d1e0
hex314dc5b0b

13234887435 has 96 divisors (see below), whose sum is σ = 26732514816. Its totient is φ = 5473036800.

The previous prime is 13234887409. The next prime is 13234887439. The reversal of 13234887435 is 53478843231.

13234887435 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13234887435 - 27 = 13234887307 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13234887439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2678287 + ... + 2683223.

It is an arithmetic number, because the mean of its divisors is an integer number (278463696).

Almost surely, 213234887435 is an apocalyptic number.

13234887435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13234887435 is an abundant number, since it is smaller than the sum of its proper divisors (13497627381).

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

13234887435 is a wasteful number, since it uses less digits than its factorization.

13234887435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5185 (or 5174 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The spelling of 13234887435 in words is "thirteen billion, two hundred thirty-four million, eight hundred eighty-seven thousand, four hundred thirty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 121 165 211 231 363 385 605 633 847 1055 1155 1477 1815 2321 2541 3165 4235 4431 4937 6963 7385 11605 12705 14811 16247 22155 24685 25531 34559 34815 48741 54307 74055 76593 81235 103677 127655 162921 172795 178717 243705 271535 380149 382965 518385 536151 597377 814605 893585 1041707 1140447 1792131 1900745 2680755 2986885 3125121 4181639 5208535 5702235 7291949 8960655 11458777 12544917 15625605 20908195 21875847 34376331 36459745 57293885 62724585 80211439 109379235 126046547 171881655 240634317 378139641 401057195 630232735 882325829 1203171585 1890698205 2646977487 4411629145 13234887435