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129055940640 = 253251117479263
BaseRepresentation
bin111100000110001010…
…1010110000000100000
3110100010010112001122100
41320030111112000200
54103301310100030
6135142032410400
712216061252464
oct1701425260040
9410103461570
10129055940640
114a806794390
12210186a6a00
13c229422a23
146363d604a4
153555032360
hex1e0c556020

129055940640 has 288 divisors, whose sum is σ = 508702311936. Its totient is φ = 29445857280.

The previous prime is 129055940639. The next prime is 129055940659. The reversal of 129055940640 is 46049550921.

129055940640 is a `hidden beast` number, since 1 + 2 + 90 + 559 + 4 + 0 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29649 + ... + 508911.

It is an arithmetic number, because the mean of its divisors is an integer number (1766327472).

Almost surely, 2129055940640 is an apocalyptic number.

129055940640 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 129055940640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254351155968).

129055940640 is an abundant number, since it is smaller than the sum of its proper divisors (379646371296).

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

129055940640 is a wasteful number, since it uses less digits than its factorization.

129055940640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479312 (or 479301 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 129055940640 in words is "one hundred twenty-nine billion, fifty-five million, nine hundred forty thousand, six hundred forty".