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129030387264 = 263616632
BaseRepresentation
bin111100000101011001…
…1110111011001000000
3110100001100102211000000
41320022303313121000
54103223234343024
6135135321000000
712215331124032
oct1701263673100
9410040384000
10129030387264
114a7a3320799
1221010023000
13c22404699c
1463607cbc52
153552b85cc9
hex1e0acf7640

129030387264 has 147 divisors (see below), whose sum is σ = 384122379963. Its totient is φ = 42984266112.

The previous prime is 129030387229. The next prime is 129030387301. The reversal of 129030387264 is 462783030921.

The square root of 129030387264 is 359208.

It is a perfect power (a square), and thus also a powerful number.

129030387264 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 3 + 0 + 387 + 264 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 77588097 + ... + 77589759.

Almost surely, 2129030387264 is an apocalyptic number.

129030387264 is the 359208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129030387264

129030387264 is an abundant number, since it is smaller than the sum of its proper divisors (255091992699).

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

129030387264 is an frugal number, since it uses more digits than its factorization.

129030387264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 129030387264 in words is "one hundred twenty-nine billion, thirty million, three hundred eighty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1663 1728 1944 2592 2916 3326 3888 4989 5184 5832 6652 7776 9978 11664 13304 14967 15552 19956 23328 26608 29934 39912 44901 46656 53216 59868 79824 89802 106432 119736 134703 159648 179604 239472 269406 319296 359208 404109 478944 538812 718416 808218 957888 1077624 1212327 1436832 1616436 2155248 2424654 2765569 2873664 3232872 4310496 4849308 5531138 6465744 8296707 8620992 9698616 11062276 12931488 16593414 19397232 22124552 24890121 25862976 33186828 38794464 44249104 49780242 66373656 74670363 77588928 88498208 99560484 132747312 149340726 176996416 199120968 224011089 265494624 298681452 398241936 448022178 530989248 597362904 672033267 796483872 896044356 1194725808 1344066534 1592967744 1792088712 2016099801 2389451616 2688133068 3584177424 4032199602 4778903232 5376266136 7168354848 8064399204 10752532272 14336709696 16128798408 21505064544 32257596816 43010129088 64515193632 129030387264