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129196007424 = 213331153101
BaseRepresentation
bin111100001010010101…
…1101010000000000000
3110100110220002012011000
41320110223222000000
54104043134214144
6135203554452000
712222411641451
oct1702453520000
9410426065130
10129196007424
114a878861660
1221057594000
13c24c454593
1463787c1128
15356249d769
hex1e14aea000

129196007424 has 224 divisors, whose sum is σ = 417585631680. Its totient is φ = 39149568000.

The previous prime is 129196007351. The next prime is 129196007503. The reversal of 129196007424 is 424700691921.

129196007424 is a `hidden beast` number, since 1 + 2 + 9 + 19 + 600 + 7 + 4 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 129196007424.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2406474 + ... + 2459574.

It is an arithmetic number, because the mean of its divisors is an integer number (1864221570).

Almost surely, 2129196007424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129196007424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208792815840).

129196007424 is an abundant number, since it is smaller than the sum of its proper divisors (288389624256).

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

129196007424 is an equidigital number, since it uses as much as digits as its factorization.

129196007424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53147 (or 53117 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 129196007424 in words is "one hundred twenty-nine billion, one hundred ninety-six million, seven thousand, four hundred twenty-four".