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129909249360 = 24335112497051
BaseRepresentation
bin111100011111100110…
…0011101010101010000
3110102022121011122011000
41320333030131111100
54112023231434420
6135402434022000
712246162254142
oct1707714352520
9412277148130
10129909249360
1150104425900
1221216417900
13c33414c027
146405404c92
1535a4dd9690
hex1e3f31d550

129909249360 has 240 divisors, whose sum is σ = 491842895040. Its totient is φ = 31493088000.

The previous prime is 129909249289. The next prime is 129909249373. The reversal of 129909249360 is 63942909921.

129909249360 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 0 + 92 + 493 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 129909249297 and 129909249306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12835 + ... + 509885.

It is an arithmetic number, because the mean of its divisors is an integer number (2049345396).

Almost surely, 2129909249360 is an apocalyptic number.

129909249360 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 129909249360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245921447520).

129909249360 is an abundant number, since it is smaller than the sum of its proper divisors (361933645680).

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

129909249360 is a wasteful number, since it uses less digits than its factorization.

129909249360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497095 (or 497072 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 129909249360 in words is "one hundred twenty-nine billion, nine hundred nine million, two hundred forty-nine thousand, three hundred sixty".