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129068402473296 = 243211213192312710267
BaseRepresentation
bin11101010110001100010100…
…010001111111100101010000
3121220222211002212220112111200
4131112030110101333211100
5113404124042013121141
61134301112221511200
736120612222323016
oct3526142421774520
9556884085815450
10129068402473296
1138141669431a00
12125863a2a12500
135703137785c20
1423c2d3051c8b6
15edc573081ab6
hex75631447f950

129068402473296 has 1440 divisors, whose sum is σ = 473392954245120. Its totient is φ = 32455040808960.

The previous prime is 129068402473291. The next prime is 129068402473301. The reversal of 129068402473296 is 692374204860921.

129068402473296 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 68 + 4 + 0 + 247 + 329 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (129068402473291) and next prime (129068402473301).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129068402473291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12571184355 + ... + 12571194621.

Almost surely, 2129068402473296 is an apocalyptic number.

129068402473296 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 129068402473296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236696477122560).

129068402473296 is an abundant number, since it is smaller than the sum of its proper divisors (344324551771824).

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

129068402473296 is a wasteful number, since it uses less digits than its factorization.

129068402473296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10485 (or 10465 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 129068402473296 in words is "one hundred twenty-nine trillion, sixty-eight billion, four hundred two million, four hundred seventy-three thousand, two hundred ninety-six".