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12799088640 = 211345131187
BaseRepresentation
bin10111110101110001…
…01001100000000000
31020000222202001220000
423322320221200000
5202203031314030
65514012520000
7632113313142
oct137270514000
936028661800
1012799088640
11547882a808
122592480000
13128c888940
14895bcac92
154ed9b7860
hex2fae29800

12799088640 has 480 divisors, whose sum is σ = 49446437040. Its totient is φ = 3147890688.

The previous prime is 12799088633. The next prime is 12799088651. The reversal of 12799088640 is 4688099721.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10782127 + ... + 10783313.

Almost surely, 212799088640 is an apocalyptic number.

12799088640 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 12799088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24723218520).

12799088640 is an abundant number, since it is smaller than the sum of its proper divisors (36647348400).

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

12799088640 is a wasteful number, since it uses less digits than its factorization.

12799088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 12799088640 in words is "twelve billion, seven hundred ninety-nine million, eighty-eight thousand, six hundred forty".