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12692471960 = 2357219675087
BaseRepresentation
bin10111101001000011…
…11100000010011000
31012202120010101022002
423310201330002120
5201443233100320
65455243420132
7626350142300
oct136441740230
935676111262
1012692471960
11542362a053
122562824648
13127376954c
14885996600
154e4457675
hex2f487c098

12692471960 has 192 divisors, whose sum is σ = 35497958400. Its totient is φ = 4060336896.

The previous prime is 12692471951. The next prime is 12692472029. The reversal of 12692471960 is 6917429621.

It is a super-3 number, since 3×126924719603 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2492537 + ... + 2497623.

It is an arithmetic number, because the mean of its divisors is an integer number (184885200).

Almost surely, 212692471960 is an apocalyptic number.

12692471960 is a gapful number since it is divisible by the number (10) 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 12692471960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17748979200).

12692471960 is an abundant number, since it is smaller than the sum of its proper divisors (22805486440).

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

12692471960 is a wasteful number, since it uses less digits than its factorization.

12692471960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5198 (or 5187 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The spelling of 12692471960 in words is "twelve billion, six hundred ninety-two million, four hundred seventy-one thousand, nine hundred sixty".