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129522032640 = 213355711132
BaseRepresentation
bin111100010100000011…
…1010110000000000000
3110101022121112222200000
41320220013112000000
54110230120021030
6135300202400000
712233451053340
oct1705007260000
9411277488600
10129522032640
114aa258a1190
1221128800000
13c2a1b65100
1463a9c0ad20
153580ded860
hex1e281d6000

129522032640 has 2016 divisors, whose sum is σ = 628591332096. Its totient is φ = 24843386880.

The previous prime is 129522032621. The next prime is 129522032669. The reversal of 129522032640 is 46230225921.

129522032640 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 2 + 2 + 0 + 3 + 2 + 640 = 666.

129522032640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 129522032595 and 129522032604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9963233274 + ... + 9963233286.

It is an arithmetic number, because the mean of its divisors is an integer number (311801256).

Almost surely, 2129522032640 is an apocalyptic number.

129522032640 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 129522032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314295666048).

129522032640 is an abundant number, since it is smaller than the sum of its proper divisors (499069299456).

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

129522032640 is an equidigital number, since it uses as much as digits as its factorization.

129522032640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 129522032640 in words is "one hundred twenty-nine billion, five hundred twenty-two million, thirty-two thousand, six hundred forty".