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129692036448 = 253213831492801
BaseRepresentation
bin111100011001000111…
…1110110110101100000
3110101202110110002001100
41320302033312311200
54111102130131243
6135325114234400
712240614056302
oct1706217666540
9411673402040
10129692036448
11500028565a7
1221175725a00
13c2cb149090
1463c4621972
153590cd00d3
hex1e323f6d60

129692036448 has 288 divisors, whose sum is σ = 404809423200. Its totient is φ = 39145881600.

The previous prime is 129692036443. The next prime is 129692036459. The reversal of 129692036448 is 844630296921.

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

It is a junction number, because it is equal to n+sod(n) for n = 129692036394 and 129692036403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129692036443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46300648 + ... + 46303448.

It is an arithmetic number, because the mean of its divisors is an integer number (1405588275).

Almost surely, 2129692036448 is an apocalyptic number.

129692036448 is a gapful number since it is divisible by the number (18) 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 129692036448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202404711600).

129692036448 is an abundant number, since it is smaller than the sum of its proper divisors (275117386752).

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

129692036448 is a wasteful number, since it uses less digits than its factorization.

129692036448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 129692036448 in words is "one hundred twenty-nine billion, six hundred ninety-two million, thirty-six thousand, four hundred forty-eight".