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129284887936 = 2717293166089
BaseRepresentation
bin111100001100111111…
…0101101010110000000
3110100201002022210021211
41320121332231112000
54104233412403221
6135220451455504
712224541262351
oct1703176552600
9410632283254
10129284887936
114a913a48926
12210812b7594
13c2649a3ab9
146386519d28
15356a1a86e1
hex1e19fad580

129284887936 has 128 divisors (see below), whose sum is σ = 291218976000. Its totient is φ = 56846254080.

The previous prime is 129284887903. The next prime is 129284887937. The reversal of 129284887936 is 639788482921.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129284887937) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1923180 + ... + 1989268.

It is an arithmetic number, because the mean of its divisors is an integer number (2275148250).

Almost surely, 2129284887936 is an apocalyptic number.

129284887936 is a gapful number since it is divisible by the number (16) 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 129284887936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145609488000).

129284887936 is an abundant number, since it is smaller than the sum of its proper divisors (161934088064).

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

129284887936 is a wasteful number, since it uses less digits than its factorization.

129284887936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66180 (or 66168 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 67.

The spelling of 129284887936 in words is "one hundred twenty-nine billion, two hundred eighty-four million, eight hundred eighty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 17 29 31 32 34 58 62 64 68 116 124 128 136 232 248 272 464 493 496 527 544 899 928 986 992 1054 1088 1798 1856 1972 1984 2108 2176 3596 3712 3944 3968 4216 7192 7888 8432 14384 15283 15776 16864 28768 30566 31552 33728 57536 61132 63104 66089 67456 115072 122264 132178 244528 264356 489056 528712 978112 1057424 1123513 1916581 1956224 2048759 2114848 2247026 3833162 4097518 4229696 4494052 7666324 8195036 8459392 8988104 15332648 16390072 17976208 30665296 32581877 32780144 34828903 35952416 59414011 61330592 65163754 65560288 69657806 71904832 118828022 122661184 130327508 131120576 139315612 143809664 237656044 245322368 260655016 262241152 278631224 475312088 521310032 557262448 950624176 1010038187 1042620064 1114524896 1901248352 2020076374 2085240128 2229049792 3802496704 4040152748 4170480256 4458099584 7604993408 8080305496 16160610992 32321221984 64642443968 129284887936