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12527020638431 = 1337161271614913
BaseRepresentation
bin1011011001001010110010…
…0111011000000011011111
31122100120102121101110200022
42312102230213120003133
53120220314240412211
642350500035222355
72432022151353365
oct266225447300337
948316377343608
1012527020638431
113a9a752631942
1214a39a1a479bb
136cb3a68960c0
1431444d697635
1516accad13bdb
hexb64ac9d80df

12527020638431 has 16 divisors (see below), whose sum is σ = 13856117151744. Its totient is φ = 11250174633984.

The previous prime is 12527020638427. The next prime is 12527020638443. The reversal of 12527020638431 is 13483602072521.

It is not a de Polignac number, because 12527020638431 - 22 = 12527020638427 is a prime.

It is a super-2 number, since 2×125270206384312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12527020638401) 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 15 ways as a sum of consecutive naturals, for example, 6949631 + ... + 8564543.

It is an arithmetic number, because the mean of its divisors is an integer number (866007321984).

Almost surely, 212527020638431 is an apocalyptic number.

12527020638431 is a deficient number, since it is larger than the sum of its proper divisors (1329096513313).

12527020638431 is a wasteful number, since it uses less digits than its factorization.

12527020638431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631090.

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 12527020638431 in words is "twelve trillion, five hundred twenty-seven billion, twenty million, six hundred thirty-eight thousand, four hundred thirty-one".

Divisors: 1 13 37 481 16127 209651 596699 1614913 7757087 20993869 59751781 776773153 26043701951 338568125363 963616972187 12527020638431