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129959870040 = 233557111319237
BaseRepresentation
bin111100100001000110…
…1100011111001011000
3110102110010102102200000
41321002031203321120
54112124211320130
6135411443013000
712250345445250
oct1710215437130
9412403372600
10129959870040
115012aa5a980
122122b36a160
13c341793ab0
14640c020960
1535a9588260
hex1e42363e58

129959870040 has 2304 divisors, whose sum is σ = 637458232320. Its totient is φ = 22977146880.

The previous prime is 129959870017. The next prime is 129959870071. The reversal of 129959870040 is 40078959921.

129959870040 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 598 + 7 + 0 + 0 + 40 = 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 polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3512428902 + ... + 3512428938.

It is an arithmetic number, because the mean of its divisors is an integer number (276674580).

Almost surely, 2129959870040 is an apocalyptic number.

129959870040 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 129959870040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318729116160).

129959870040 is an abundant number, since it is smaller than the sum of its proper divisors (507498362280).

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

129959870040 is a wasteful number, since it uses less digits than its factorization.

129959870040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

It can be divided in two parts, 129959 and 870040, that added together give a palindrome (999999).

The spelling of 129959870040 in words is "one hundred twenty-nine billion, nine hundred fifty-nine million, eight hundred seventy thousand, forty".