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432266134540513 = 71323449345966937
BaseRepresentation
bin110001001001001001100110…
…1011001011101000011100001
32002200112020110010220011101211
41202102103031121131003201
5423124222020420244023
64131204153142030121
7160023124532161240
oct14222231531350341
92080466403804354
10432266134540513
1111580804687a889
12405940a5a18341
13157276a1bb1830
1478a5b14a4a957
1534e937a41da0d
hex18924cd65d0e1

432266134540513 has 32 divisors (see below), whose sum is σ = 555274727271936. Its totient is φ = 327069826795008.

The previous prime is 432266134540507. The next prime is 432266134540549. The reversal of 432266134540513 is 315045431662234.

It is a cyclic number.

It is not a de Polignac number, because 432266134540513 - 221 = 432266132443361 is a prime.

It is a super-2 number, since 2×4322661345405132 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (432266134540613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13579620 + ... + 32387317.

It is an arithmetic number, because the mean of its divisors is an integer number (17352335227248).

Almost surely, 2432266134540513 is an apocalyptic number.

It is an amenable number.

432266134540513 is a deficient number, since it is larger than the sum of its proper divisors (123008592731423).

432266134540513 is a wasteful number, since it uses less digits than its factorization.

432266134540513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45971473.

The product of its (nonzero) digits is 6220800, while the sum is 49.

The spelling of 432266134540513 in words is "four hundred thirty-two trillion, two hundred sixty-six billion, one hundred thirty-four million, five hundred forty thousand, five hundred thirteen".

Divisors: 1 7 13 23 91 161 299 2093 4493 31451 58409 103339 408863 723373 1343407 9403849 45966937 321768559 597570181 1057239551 4182991267 7400676857 13744114163 96208799141 206529447941 1445706135587 2684882823233 4750177302643 18794179762631 33251241118501 61752304934359 432266134540513