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129522457050 = 23527290719429
BaseRepresentation
bin111100010100000100…
…0111101100111011010
3110101022122100112211220
41320220020331213122
54110230222111200
6135300215432510
712233454501600
oct1705010754732
9411278315756
10129522457050
114aa26061038
1221128985736
13c2a1c8333c
1463a9cbb870
153580e844a0
hex1e2823d9da

129522457050 has 144 divisors (see below), whose sum is σ = 374090297760. Its totient is φ = 29570970240.

The previous prime is 129522457033. The next prime is 129522457061. The reversal of 129522457050 is 50754225921.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 129522456993 and 129522457011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6656736 + ... + 6676164.

It is an arithmetic number, because the mean of its divisors is an integer number (2597849290).

Almost surely, 2129522457050 is an apocalyptic number.

129522457050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 129522457050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187045148880).

129522457050 is an abundant number, since it is smaller than the sum of its proper divisors (244567840710).

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

129522457050 is a wasteful number, since it uses less digits than its factorization.

129522457050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20365 (or 20353 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 129522457050 in words is "one hundred twenty-nine billion, five hundred twenty-two million, four hundred fifty-seven thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 350 490 525 735 907 1050 1225 1470 1814 2450 2721 3675 4535 5442 6349 7350 9070 12698 13605 19047 19429 22675 27210 31745 38094 38858 44443 45350 58287 63490 68025 88886 95235 97145 116574 133329 136003 136050 158725 190470 194290 222215 266658 272006 291435 317450 408009 444430 476175 485725 582870 666645 680015 816018 952021 952350 971450 1111075 1333290 1360030 1457175 1904042 2040045 2222150 2856063 2914350 3333225 3400075 4080090 4760105 5712126 6666450 6800150 9520210 10200225 14280315 17622103 20400450 23800525 28560630 35244206 47601050 52866309 71401575 88110515 105732618 123354721 142803150 176221030 246709442 264331545 370064163 440552575 528663090 616773605 740128326 863483047 881105150 1233547210 1321657725 1726966094 1850320815 2590449141 2643315450 3083868025 3700641630 4317415235 5180898282 6167736050 8634830470 9251604075 12952245705 18503208150 21587076175 25904491410 43174152350 64761228525 129522457050