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129248056080 = 2433511132947307
BaseRepresentation
bin111100001011111001…
…0001101001100010000
3110100121112000112111000
41320113302031030100
54104200000243310
6135213054222000
712223613231013
oct1702762151420
9410545015430
10129248056080
114a8a5181580
1221070ab4900
13c25a1792c0
14638168d37a
153566d304c0
hex1e17c8d310

129248056080 has 1280 divisors, whose sum is σ = 554364518400. Its totient is φ = 27242127360.

The previous prime is 129248056079. The next prime is 129248056117. The reversal of 129248056080 is 80650842921.

129248056080 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 4 + 8 + 0 + 560 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 421003287 + ... + 421003593.

It is an arithmetic number, because the mean of its divisors is an integer number (433097280).

Almost surely, 2129248056080 is an apocalyptic number.

129248056080 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 129248056080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277182259200).

129248056080 is an abundant number, since it is smaller than the sum of its proper divisors (425116462320).

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

129248056080 is a wasteful number, since it uses less digits than its factorization.

129248056080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 129248056080 in words is "one hundred twenty-nine billion, two hundred forty-eight million, fifty-six thousand, eighty".