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129379803840 = 26325721973661
BaseRepresentation
bin111100001111110100…
…0110010001011000000
3110100221200221000102200
41320133220302023000
54104432212210330
6135234122113200
712230103121200
oct1703750621300
9410850830380
10129379803840
114a962587621
12210a904b800
13c27b557461
146394d86400
1535736a6a60
hex1e1fa322c0

129379803840 has 1008 divisors, whose sum is σ = 553213645920. Its totient is φ = 27590492160.

The previous prime is 129379803823. The next prime is 129379803869. The reversal of 129379803840 is 48308973921.

129379803840 is a `hidden beast` number, since 129 + 379 + 80 + 38 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 195733110 + ... + 195733770.

Almost surely, 2129379803840 is an apocalyptic number.

129379803840 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 129379803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276606822960).

129379803840 is an abundant number, since it is smaller than the sum of its proper divisors (423833842080).

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

129379803840 is a wasteful number, since it uses less digits than its factorization.

129379803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 129379803840 in words is "one hundred twenty-nine billion, three hundred seventy-nine million, eight hundred three thousand, eight hundred forty".