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434152315418887 = 13297989333149171
BaseRepresentation
bin110001010110110111111011…
…0100010011111100100000111
32002221012120000022222120000201
41202231233312202133210013
5423401122420221401022
64135210453104151331
7160306320050126422
oct14255576642374407
92087176008876021
10434152315418887
11116374a657a999a
1240839764008547
1315833506948210
14792d1270089b9
15352d470dac127
hex18adbf689f907

434152315418887 has 64 divisors (see below), whose sum is σ = 495455498496000. Its totient is φ = 377625222374400.

The previous prime is 434152315418849. The next prime is 434152315418891. The reversal of 434152315418887 is 788814513251434.

It is a de Polignac number, because none of the positive numbers 2k-434152315418887 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434152315418837) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8829413812 + ... + 8829462982.

It is an arithmetic number, because the mean of its divisors is an integer number (7741492164000).

Almost surely, 2434152315418887 is an apocalyptic number.

434152315418887 is a deficient number, since it is larger than the sum of its proper divisors (61303183077113).

434152315418887 is a wasteful number, since it uses less digits than its factorization.

434152315418887 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52712.

The product of its digits is 103219200, while the sum is 64.

The spelling of 434152315418887 in words is "four hundred thirty-four trillion, one hundred fifty-two billion, three hundred fifteen million, four hundred eighteen thousand, eight hundred eighty-seven".

Divisors: 1 13 29 79 89 377 1027 1157 2291 2581 3331 7031 29783 33553 43303 49171 91403 96599 203899 263149 296459 639223 1255787 1425959 2650687 3420937 3853967 3884509 4376219 7631321 8597311 18537467 23420261 50498617 56890847 99207173 111765043 112650761 126910351 163788601 304463393 345721301 679187569 1464459893 1649834563 2129251813 4494376913 4749869429 8829438397 10025917729 12939299479 14577185489 61748302577 130336930477 168210893227 189503411357 375239684891 422738379181 1151597653631 4878115903583 5495598929353 14970769497203 33396331955299 434152315418887