Search a number
-
+
129409497084 = 223743317113021
BaseRepresentation
bin111100010000101101…
…0000011011111111100
3110101000202210120220110
41320201122003133330
54110012312401314
6135241102350020
712230613401340
oct1704132033774
9411022716813
10129409497084
114a97831859a
12210b6b8b310
13c28475291a
146398cb5620
1535760bea59
hex1e216837fc

129409497084 has 96 divisors (see below), whose sum is σ = 354234456576. Its totient is φ = 36000034560.

The previous prime is 129409497071. The next prime is 129409497089. The reversal of 129409497084 is 480794904921.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129409497089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1088494 + ... + 1201514.

It is an arithmetic number, because the mean of its divisors is an integer number (3689942256).

Almost surely, 2129409497084 is an apocalyptic number.

129409497084 is a gapful number since it is divisible by the number (14) 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 129409497084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177117228288).

129409497084 is an abundant number, since it is smaller than the sum of its proper divisors (224824959492).

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

129409497084 is a wasteful number, since it uses less digits than its factorization.

129409497084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113395 (or 113393 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 129409497084 in words is "one hundred twenty-nine billion, four hundred nine million, four hundred ninety-seven thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 317 516 602 634 903 951 1204 1268 1806 1902 2219 3612 3804 4438 6657 8876 13314 13631 26628 27262 40893 54524 81786 95417 113021 163572 190834 226042 286251 339063 381668 452084 572502 678126 791147 1145004 1356252 1582294 2373441 3164588 4746882 4859903 9493764 9719806 14579709 19439612 29159418 34019321 35827657 58318836 68038642 71655314 102057963 107482971 136077284 143310628 204115926 214965942 250793599 408231852 429931884 501587198 752380797 1003174396 1504761594 1540589251 3009523188 3081178502 4621767753 6162357004 9243535506 10784124757 18487071012 21568249514 32352374271 43136499028 64704748542 129409497084