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129470116160 = 26571121931811
BaseRepresentation
bin111100010010100000…
…1010011000101000000
3110101011222212100122102
41320211001103011000
54110123322204120
6135251105525532
712232250554340
oct1704501230500
9411158770572
10129470116160
114a9a9561600
12211133438a8
13c2941885b8
1463a2d74d20
15357b595d75
hex1e25053140

129470116160 has 672 divisors, whose sum is σ = 421339914240. Its totient is φ = 36951552000.

The previous prime is 129470116117. The next prime is 129470116163. The reversal of 129470116160 is 61611074921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129470116163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159642155 + ... + 159642965.

It is an arithmetic number, because the mean of its divisors is an integer number (626993920).

Almost surely, 2129470116160 is an apocalyptic number.

129470116160 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 129470116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210669957120).

129470116160 is an abundant number, since it is smaller than the sum of its proper divisors (291869798080).

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

129470116160 is a wasteful number, since it uses less digits than its factorization.

129470116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The spelling of 129470116160 in words is "one hundred twenty-nine billion, four hundred seventy million, one hundred sixteen thousand, one hundred sixty".