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129889164328 = 23721124016829
BaseRepresentation
bin111100011110111111…
…1110101110000101000
3110102021012101012122221
41320331333311300220
54112003111224303
6135400435323424
712245526452200
oct1707577656050
9412235335587
10129889164328
11500a4057700
122120b750574
13c32cc38cb1
146402897400
1535a326d4bd
hex1e3dff5c28

129889164328 has 144 divisors (see below), whose sum is σ = 312222726900. Its totient is φ = 50472576000.

The previous prime is 129889164313. The next prime is 129889164337. The reversal of 129889164328 is 823461988921.

It can be written as a sum of positive squares in 2 ways, for example, as 113432892804 + 16456271524 = 336798^2 + 128282^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19016818 + ... + 19023646.

Almost surely, 2129889164328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129889164328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156111363450).

129889164328 is an abundant number, since it is smaller than the sum of its proper divisors (182333562572).

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

129889164328 is a wasteful number, since it uses less digits than its factorization.

129889164328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7272 (or 7250 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 61.

The spelling of 129889164328 in words is "one hundred twenty-nine billion, eight hundred eighty-nine million, one hundred sixty-four thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 121 154 196 242 308 392 401 484 539 616 802 847 968 1078 1604 1694 2156 2807 3208 3388 4312 4411 5614 5929 6776 6829 8822 11228 11858 13658 17644 19649 22456 23716 27316 30877 35288 39298 47432 47803 48521 54632 61754 75119 78596 95606 97042 123508 150238 157192 191212 194084 216139 247016 300476 334621 339647 382424 388168 432278 525833 600952 669242 679294 826309 864556 1051666 1338484 1358588 1652618 1729112 2103332 2377529 2676968 2717176 2738429 3305236 3680831 4206664 4755058 5476858 5784163 6610472 7361662 9510116 10953716 11568326 14723324 19020232 19169003 21907432 23136652 29446648 30122719 38338006 40489141 46273304 60245438 76676012 80978282 120490876 134183021 153352024 161956564 210859033 240981752 268366042 323913128 331349909 421718066 536732084 662699818 843436132 1073464168 1325399636 1476013231 1686872264 2319449363 2650799272 2952026462 4638898726 5904052924 9277797452 11808105848 16236145541 18555594904 32472291082 64944582164 129889164328