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129507470976 = 27313176722777
BaseRepresentation
bin111100010011100111…
…1110010111010000000
3110101021121011011211010
41320213033302322000
54110212403032401
6135254522320520
712233213224452
oct1704717627200
9411247134733
10129507470976
114aa18655854
1221123959140
13c29bb37140
1463a7cda2d2
15357e9c3ed6
hex1e273f2e80

129507470976 has 256 divisors, whose sum is σ = 398130284160. Its totient is φ = 36943036416.

The previous prime is 129507470951. The next prime is 129507471047. The reversal of 129507470976 is 679074705921.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5674500 + ... + 5697276.

Almost surely, 2129507470976 is an apocalyptic number.

129507470976 is a gapful number since it is divisible by the number (16) 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 129507470976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199065142080).

129507470976 is an abundant number, since it is smaller than the sum of its proper divisors (268622813184).

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

129507470976 is a wasteful number, since it uses less digits than its factorization.

129507470976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22891 (or 22879 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 57.

The spelling of 129507470976 in words is "one hundred twenty-nine billion, five hundred seven million, four hundred seventy thousand, nine hundred seventy-six".