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129338654130 = 232572245911927
BaseRepresentation
bin111100001110100101…
…1110011110110110010
3110100211211111101122100
41320131023303312302
54104341143413010
6135230052121230
712226063264200
oct1703513636662
9410754441570
10129338654130
114a9413311a4
1221097306216
13c272b7a50a
14638d714070
15356ec792c0
hex1e1d2f3db2

129338654130 has 144 divisors (see below), whose sum is σ = 391375333440. Its totient is φ = 29548620864.

The previous prime is 129338654117. The next prime is 129338654149. The reversal of 129338654130 is 31456833921.

129338654130 is a `hidden beast` number, since 1 + 2 + 93 + 386 + 54 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon 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, 10838227 + ... + 10850153.

It is an arithmetic number, because the mean of its divisors is an integer number (2717884260).

Almost surely, 2129338654130 is an apocalyptic number.

129338654130 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 129338654130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195687666720).

129338654130 is an abundant number, since it is smaller than the sum of its proper divisors (262036679310).

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

129338654130 is a wasteful number, since it uses less digits than its factorization.

129338654130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14413 (or 14403 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 129338654130 in words is "one hundred twenty-nine billion, three hundred thirty-eight million, six hundred fifty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 2459 4410 4918 7377 11927 12295 14754 17213 22131 23854 24590 34426 35781 36885 44262 51639 59635 71562 73770 83489 86065 103278 107343 110655 119270 120491 154917 166978 172130 178905 214686 221310 240982 250467 258195 309834 357810 361473 417445 500934 516390 536715 584423 602455 722946 751401 774585 834890 1073430 1084419 1168846 1204910 1252335 1502802 1549170 1753269 1807365 2168838 2504670 2922115 3506538 3614730 3757005 5259807 5422095 5844230 7514010 8766345 10519614 10844190 17532690 26299035 29328493 52598070 58656986 87985479 146642465 175970958 205299451 263956437 293284930 410598902 439927395 527912874 615898353 879854790 1026497255 1231796706 1319782185 1437096157 1847695059 2052994510 2639564370 2874192314 3079491765 3695390118 4311288471 6158983530 7185480785 8622576942 9238475295 12933865413 14370961570 18476950590 21556442355 25867730826 43112884710 64669327065 129338654130