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129139113128796 = 2232414713229140717
BaseRepresentation
bin11101010111001110001010…
…111101101111001101011100
3121221020120121211111000110100
4131113032022331233031130
5113411303400430110141
61134353404540341100
736125664416063421
oct3527161275571534
9557216554430410
10129139113128796
1138169654790a71
1212598037844790
1357099c6200994
1423c651b683d48
15ede310c6c0b6
hex75738af6f35c

129139113128796 has 144 divisors (see below), whose sum is σ = 341539877427840. Its totient is φ = 41099518755840.

The previous prime is 129139113128747. The next prime is 129139113128867. The reversal of 129139113128796 is 697821311931921.

129139113128796 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 391 + 131 + 28 + 7 + 96 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 917651830 + ... + 917792546.

It is an arithmetic number, because the mean of its divisors is an integer number (2371804704360).

Almost surely, 2129139113128796 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 129139113128796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170769938713920).

129139113128796 is an abundant number, since it is smaller than the sum of its proper divisors (212400764299044).

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

129139113128796 is a wasteful number, since it uses less digits than its factorization.

129139113128796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154044 (or 154039 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 63.

The spelling of 129139113128796 in words is "one hundred twenty-nine trillion, one hundred thirty-nine billion, one hundred thirteen million, one hundred twenty-eight thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 47 82 94 123 141 164 188 246 282 369 423 492 564 738 846 1476 1692 1927 3854 5781 7708 11562 13229 17343 23124 26458 34686 39687 52916 69372 79374 119061 140717 158748 238122 281434 422151 476244 542389 562868 621763 844302 1084778 1243526 1266453 1627167 1688604 1865289 2169556 2487052 2532906 3254334 3730578 4881501 5065812 5595867 5769397 6508668 6613699 7461156 9763002 11191734 11538794 13227398 17308191 19526004 19841097 22383468 23077588 25492283 26454796 34616382 39682194 50984566 51924573 59523291 69232764 76476849 79364388 101969132 103849146 119046582 152953698 207698292 229430547 238093164 271161659 305907396 458861094 542323318 813484977 917722188 1084646636 1626969954 1861545193 2440454931 3253939908 3723090386 4880909862 5584635579 7446180772 9761819724 11169271158 16753906737 22338542316 33507813474 67015626948 76323352913 87492624071 152646705826 174985248142 228970058739 262477872213 305293411652 349970496284 457940117478 524955744426 686910176217 787433616639 915880234956 1049911488852 1373820352434 1574867233278 2747640704868 3149734466556 3587197586911 7174395173822 10761592760733 14348790347644 21523185521466 32284778282199 43046371042932 64569556564398 129139113128796