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71238844883217 = 31123647145067729
BaseRepresentation
bin10000001100101010010110…
…000010110010000100010001
3100100020100220120211101221110
4100030222112002302010101
533314134123242230332
6411302401252443533
721001556662265334
oct2014522602620421
9310210816741843
1071238844883217
112077625181a990
127ba66950195a9
133099a42c65bbb
141383d9ad9261b
15838144a964cc
hex40ca960b2111

71238844883217 has 32 divisors (see below), whose sum is σ = 108292480174080. Its totient is φ = 41234051006720.

The previous prime is 71238844883197. The next prime is 71238844883251.

71238844883217 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 71238844883217 - 212 = 71238844879121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71238844863217) 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, 72042792 + ... + 73024937.

It is an arithmetic number, because the mean of its divisors is an integer number (3384140005440).

Almost surely, 271238844883217 is an apocalyptic number.

It is an amenable number.

71238844883217 is a deficient number, since it is larger than the sum of its proper divisors (37053635290863).

71238844883217 is a wasteful number, since it uses less digits than its factorization.

71238844883217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145068413.

The product of its digits is 115605504, while the sum is 66.

The spelling of 71238844883217 in words is "seventy-one trillion, two hundred thirty-eight billion, eight hundred forty-four million, eight hundred eighty-three thousand, two hundred seventeen".

Divisors: 1 3 11 23 33 69 253 647 759 1941 7117 14881 21351 44643 163691 491073 145067729 435203187 1595745019 3336557767 4787235057 10009673301 36702135437 93858820663 110106406311 281576461989 1032447027293 2158752875249 3097341081879 6476258625747 23746281627739 71238844883217