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12881413125 = 33547109049
BaseRepresentation
bin10111111111100101…
…01100010000000101
31020020201122120212000
423333302230100011
5202340120210000
65530113215513
7634133130210
oct137762542005
936221576760
1012881413125
115510249379
1225b5b61599
1312a3951059
148a2ada777
15505d2a000
hex2ffcac405

12881413125 has 80 divisors (see below), whose sum is σ = 27253776000. Its totient is φ = 5888592000.

The previous prime is 12881413079. The next prime is 12881413157. The reversal of 12881413125 is 52131418821.

It is a happy number.

It is not a de Polignac number, because 12881413125 - 212 = 12881409029 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12881413125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63601 + ... + 172649.

It is an arithmetic number, because the mean of its divisors is an integer number (340672200).

Almost surely, 212881413125 is an apocalyptic number.

12881413125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12881413125 is an abundant number, since it is smaller than the sum of its proper divisors (14372362875).

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

12881413125 is an equidigital number, since it uses as much as digits as its factorization.

12881413125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109085 (or 109064 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The spelling of 12881413125 in words is "twelve billion, eight hundred eighty-one million, four hundred thirteen thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 125 135 175 189 225 315 375 525 625 675 875 945 1125 1575 1875 2625 3375 4375 4725 5625 7875 13125 16875 23625 39375 109049 118125 327147 545245 763343 981441 1635735 2290029 2726225 2944323 3816715 4907205 6870087 8178675 11450145 13631125 14721615 19083575 20610261 24536025 34350435 40893375 57250725 68155625 73608075 95417875 103051305 122680125 171752175 204466875 286253625 368040375 477089375 515256525 613400625 858760875 1431268125 1840201875 2576282625 4293804375 12881413125