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129252493440 = 2732574121907
BaseRepresentation
bin111100001100000001…
…1001000100010000000
3110100121211100222101200
41320120003020202000
54104202114242230
6135213333301200
712223666031640
oct1703003104200
9410554328350
10129252493440
114a8a7732414
1221072494800
13c25b070c65
1463820c6520
15356740a160
hex1e180c8880

129252493440 has 576 divisors, whose sum is σ = 523104454080. Its totient is φ = 28807741440.

The previous prime is 129252493439. The next prime is 129252493441. The reversal of 129252493440 is 44394252921.

129252493440 is a `hidden beast` number, since 1 + 2 + 92 + 524 + 9 + 34 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (129252493439) and next prime (129252493441).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (129252493441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67776967 + ... + 67778873.

It is an arithmetic number, because the mean of its divisors is an integer number (908167455).

Almost surely, 2129252493440 is an apocalyptic number.

129252493440 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 129252493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261552227040).

129252493440 is an abundant number, since it is smaller than the sum of its proper divisors (393851960640).

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

129252493440 is a wasteful number, since it uses less digits than its factorization.

129252493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 129252493440 in words is "one hundred twenty-nine billion, two hundred fifty-two million, four hundred ninety-three thousand, four hundred forty".