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12578929272 = 233271317313643
BaseRepresentation
bin10111011011100001…
…10011101001111000
31012110122110211000100
423231300303221320
5201230201214042
65440110035400
7623501064120
oct135560635170
935418424010
1012578929272
115375528818
1225307a8b60
131256093820
1487487bc80
154d94ca24c
hex2edc33a78

12578929272 has 384 divisors, whose sum is σ = 45840936960. Its totient is φ = 3020820480.

The previous prime is 12578929243. The next prime is 12578929339. The reversal of 12578929272 is 27292987521.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3451083 + ... + 3454725.

It is an arithmetic number, because the mean of its divisors is an integer number (119377440).

Almost surely, 212578929272 is an apocalyptic number.

12578929272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12578929272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22920468480).

12578929272 is an abundant number, since it is smaller than the sum of its proper divisors (33262007688).

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

12578929272 is a wasteful number, since it uses less digits than its factorization.

12578929272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723 (or 3716 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 12578929272 in words is "twelve billion, five hundred seventy-eight million, nine hundred twenty-nine thousand, two hundred seventy-two".