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129799013760 = 27355131931109
BaseRepresentation
bin111100011100010011…
…1111100010110000000
3110102000220202002100000
41320320213330112000
54111312021420020
6135343455200000
712243353261433
oct1707047742600
9412026662300
10129799013760
11500581831a9
12211a5516000
13c317363670
1463d490b81a
15359a3b2090
hex1e389fc580

129799013760 has 1536 divisors, whose sum is σ = 548900352000. Its totient is φ = 29023764480.

The previous prime is 129799013753. The next prime is 129799013783. The reversal of 129799013760 is 67310997921.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 129799013697 and 129799013706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1190816586 + ... + 1190816694.

It is an arithmetic number, because the mean of its divisors is an integer number (357357000).

Almost surely, 2129799013760 is an apocalyptic number.

129799013760 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 129799013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274450176000).

129799013760 is an abundant number, since it is smaller than the sum of its proper divisors (419101338240).

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

129799013760 is a wasteful number, since it uses less digits than its factorization.

129799013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The spelling of 129799013760 in words is "one hundred twenty-nine billion, seven hundred ninety-nine million, thirteen thousand, seven hundred sixty".