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129399504480 = 25335165718077
BaseRepresentation
bin111100010000011001…
…1111011111001100000
3110101000001222220122000
41320200303323321200
54110002233120410
6135240104244000
712230432432361
oct1704063737140
9411001886560
10129399504480
114a972712a44
12210b3770600
13c28266453c
146397833b68
153575298dc0
hex1e20cfbe60

129399504480 has 192 divisors, whose sum is σ = 453196658880. Its totient is φ = 34483802112.

The previous prime is 129399504473. The next prime is 129399504497. The reversal of 129399504480 is 84405993921.

129399504480 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 99 + 504 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7149202 + ... + 7167278.

It is an arithmetic number, because the mean of its divisors is an integer number (2360399265).

Almost surely, 2129399504480 is an apocalyptic number.

129399504480 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 129399504480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226598329440).

129399504480 is an abundant number, since it is smaller than the sum of its proper divisors (323797154400).

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

129399504480 is a wasteful number, since it uses less digits than its factorization.

129399504480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19758 (or 19744 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 129399504480 in words is "one hundred twenty-nine billion, three hundred ninety-nine million, five hundred four thousand, four hundred eighty".