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129755610829824 = 21037199136122279
BaseRepresentation
bin11101100000001100010101…
…000101110101010000000000
3122000102111220121200010012120
4131200030111011311100000
5114001403442333023244
61135544523225524240
736221350666062240
oct3540142505652000
9560374817603176
10129755610829824
1138387055656521
121267760b643680
135752b94a72c55
1424082c2a13b20
151000394142819
hex760315175400

129755610829824 has 352 divisors, whose sum is σ = 397548492288000. Its totient is φ = 36857977896960.

The previous prime is 129755610829783. The next prime is 129755610829937. The reversal of 129755610829824 is 428928016557921.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5824110717 + ... + 5824132995.

Almost surely, 2129755610829824 is an apocalyptic number.

129755610829824 is a gapful number since it is divisible by the number (14) 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 129755610829824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198774246144000).

129755610829824 is an abundant number, since it is smaller than the sum of its proper divisors (267792881458176).

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

129755610829824 is a wasteful number, since it uses less digits than its factorization.

129755610829824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23869 (or 23851 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 69.

The spelling of 129755610829824 in words is "one hundred twenty-nine trillion, seven hundred fifty-five billion, six hundred ten million, eight hundred twenty-nine thousand, eight hundred twenty-four".