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129148168950 = 2325219113133673
BaseRepresentation
bin111100001000111010…
…1001010101011110110
3110100100120001202002200
41320101311022223312
54103443412401300
6135155125245330
712221261215623
oct1702165125366
9410316052080
10129148168950
114a853857929
1221043563846
13c242574ca8
1463722cb34a
15355d19e200
hex1e11d4aaf6

129148168950 has 144 divisors (see below), whose sum is σ = 368475054480. Its totient is φ = 32337930240.

The previous prime is 129148168913. The next prime is 129148168979. The reversal of 129148168950 is 59861841921.

129148168950 is a `hidden beast` number, since 12 + 9 + 1 + 481 + 68 + 95 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 899314 + ... + 1032986.

It is an arithmetic number, because the mean of its divisors is an integer number (2558854545).

Almost surely, 2129148168950 is an apocalyptic number.

129148168950 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 129148168950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184237527240).

129148168950 is an abundant number, since it is smaller than the sum of its proper divisors (239326885530).

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

129148168950 is a wasteful number, since it uses less digits than its factorization.

129148168950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133823 (or 133815 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 129148168950 in words is "one hundred twenty-nine billion, one hundred forty-eight million, one hundred sixty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 113 114 150 171 190 225 226 285 339 342 450 475 565 570 678 855 950 1017 1130 1425 1695 1710 2034 2147 2825 2850 3390 4275 4294 5085 5650 6441 8475 8550 10170 10735 12882 16950 19323 21470 25425 32205 38646 50850 53675 64410 96615 107350 133673 161025 193230 267346 322050 401019 483075 668365 802038 966150 1203057 1336730 2005095 2406114 2539787 3341825 4010190 5079574 6015285 6683650 7619361 10025475 12030570 12698935 15105049 15238722 20050950 22858083 25397870 30076425 30210098 38096805 45315147 45716166 60152850 63494675 75525245 76193610 90630294 114290415 126989350 135945441 151050490 190484025 226575735 228580830 271890882 286995931 377626225 380968050 453151470 571452075 573991862 679727205 755252450 860987793 1132878675 1142904150 1359454410 1434979655 1721975586 2265757350 2582963379 2869959310 3398636025 4304938965 5165926758 6797272050 7174898275 8609877930 12914816895 14349796550 21524694825 25829633790 43049389650 64574084475 129148168950