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129884291712 = 2732756928307
BaseRepresentation
bin111100011110110110…
…1010000001010000000
3110102020212012122200200
41320331231100022000
54112000334313322
6135400143045200
712245440156260
oct1707555201200
9412225178620
10129884291712
11500a132984a
1221209ba0800
13c32bc211a6
146401d897a0
1535a2b098ac
hex1e3db50280

129884291712 has 192 divisors, whose sum is σ = 427915051200. Its totient is φ = 37043269632.

The previous prime is 129884291699. The next prime is 129884291741. The reversal of 129884291712 is 217192488921.

129884291712 is a `hidden beast` number, since 129 + 88 + 429 + 1 + 7 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4574263 + ... + 4602569.

It is an arithmetic number, because the mean of its divisors is an integer number (2228724225).

Almost surely, 2129884291712 is an apocalyptic number.

129884291712 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 129884291712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213957525600).

129884291712 is an abundant number, since it is smaller than the sum of its proper divisors (298030759488).

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

129884291712 is a wasteful number, since it uses less digits than its factorization.

129884291712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28903 (or 28888 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The spelling of 129884291712 in words is "one hundred twenty-nine billion, eight hundred eighty-four million, two hundred ninety-one thousand, seven hundred twelve".