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129825944080 = 245717231113229
BaseRepresentation
bin111100011101000111…
…0101011001000010000
3110102002210102021210021
41320322032223020100
54111340420202310
6135350300313224
712244131213460
oct1707216531020
9412083367707
10129825944080
11500713a7368
12211b2542814
13c31cb02371
1463d831bba0
15359c9315da
hex1e3a3ab210

129825944080 has 480 divisors, whose sum is σ = 383286896640. Its totient is φ = 40007761920.

The previous prime is 129825944047. The next prime is 129825944107. The reversal of 129825944080 is 80449528921.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 566925406 + ... + 566925634.

It is an arithmetic number, because the mean of its divisors is an integer number (798514368).

Almost surely, 2129825944080 is an apocalyptic number.

129825944080 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 129825944080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191643448320).

129825944080 is an abundant number, since it is smaller than the sum of its proper divisors (253460952560).

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

129825944080 is a wasteful number, since it uses less digits than its factorization.

129825944080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 129825944080 in words is "one hundred twenty-nine billion, eight hundred twenty-five million, nine hundred forty-four thousand, eighty".