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129783693312 = 21733713231
BaseRepresentation
bin111100011011110110…
…1100000000000000000
3110101222211220201122000
41320313231200000000
54111244111141222
6135342150544000
712243106122420
oct1706755400000
9411884821560
10129783693312
115004a569779
12211a0368000
13c31412b200
1463d2880480
153598d879ac
hex1e37b60000

129783693312 has 864 divisors, whose sum is σ = 491235010560. Its totient is φ = 33124515840.

The previous prime is 129783693311. The next prime is 129783693323. The reversal of 129783693312 is 213396387921.

129783693312 is a `hidden beast` number, since 1 + 297 + 8 + 36 + 9 + 3 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2939328) is a multiple of the sum of its prime divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129783693311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4186570737 + ... + 4186570767.

It is an arithmetic number, because the mean of its divisors is an integer number (568559040).

Almost surely, 2129783693312 is an apocalyptic number.

129783693312 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 129783693312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245617505280).

129783693312 is an abundant number, since it is smaller than the sum of its proper divisors (361451317248).

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

129783693312 is an frugal number, since it uses more digits than its factorization.

129783693312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 56 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The spelling of 129783693312 in words is "one hundred twenty-nine billion, seven hundred eighty-three million, six hundred ninety-three thousand, three hundred twelve".