Search a number
-
+
129471009906864 = 24331709122722267
BaseRepresentation
bin11101011100000011010001…
…100011011110000010110000
3121222102022022021211020221010
4131130003101203132002300
5113432223112014004424
61135210054424230520
736161654215125123
oct3534032143360260
9558368267736833
10129471009906864
113828738a87677a
121263042330b440
1357320aa36a862
1423d8604ada3ba
15ee7c88828229
hex75c0d18de0b0

129471009906864 has 80 divisors (see below), whose sum is σ = 345742991191040. Its totient is φ = 41705934877440.

The previous prime is 129471009906857. The next prime is 129471009906919. The reversal of 129471009906864 is 468609900174921.

It is a junction number, because it is equal to n+sod(n) for n = 129471009906795 and 129471009906804.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60306142 + ... + 62416125.

It is an arithmetic number, because the mean of its divisors is an integer number (4321787389888).

Almost surely, 2129471009906864 is an apocalyptic number.

It is an amenable number.

129471009906864 is an abundant number, since it is smaller than the sum of its proper divisors (216271981284176).

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

129471009906864 is a wasteful number, since it uses less digits than its factorization.

129471009906864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122723018 (or 122723012 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 66.

The spelling of 129471009906864 in words is "one hundred twenty-nine trillion, four hundred seventy-one billion, nine million, nine hundred six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 709 744 1418 1488 2127 2836 4254 5672 8508 11344 17016 21979 34032 43958 65937 87916 131874 175832 263748 351664 527496 1054992 122722267 245444534 368166801 490889068 736333602 981778136 1472667204 1963556272 2945334408 3804390277 5890668816 7608780554 11413170831 15217561108 22826341662 30435122216 45652683324 60870244432 87010087303 91305366648 174020174606 182610733296 261030261909 348040349212 522060523818 696080698424 1044121047636 1392161396848 2088242095272 2697312706393 4176484190544 5394625412786 8091938119179 10789250825572 16183876238358 21578501651144 32367752476716 43157003302288 64735504953432 129471009906864