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129482245896192 = 211357217219967
BaseRepresentation
bin11101011100001101101111…
…010001010111100000000000
3121222110101022100022122200000
4131130031233101113200000
5113432414114422134232
61135215153402400000
736162532521350400
oct3534155721274000
9558411270278600
10129482245896192
1138291126238872
121263263a200000
13573317b140657
1423d8d8d07a800
15ee81e4e8027c
hex75c36f457800

129482245896192 has 2592 divisors, whose sum is σ = 504979646371200. Its totient is φ = 32952077254656.

The previous prime is 129482245896109. The next prime is 129482245896233. The reversal of 129482245896192 is 291698542284921.

129482245896192 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 8 + 2 + 24 + 589 + 6 + 19 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 129482245896192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 133900977693 + ... + 133900978659.

Almost surely, 2129482245896192 is an apocalyptic number.

129482245896192 is a gapful number since it is divisible by the number (12) 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 129482245896192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252489823185600).

129482245896192 is an abundant number, since it is smaller than the sum of its proper divisors (375497400475008).

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

129482245896192 is an equidigital number, since it uses as much as digits as its factorization.

129482245896192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1015 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 72.

The spelling of 129482245896192 in words is "one hundred twenty-nine trillion, four hundred eighty-two billion, two hundred forty-five million, eight hundred ninety-six thousand, one hundred ninety-two".