Search a number
-
+
29172066420 = 22357238329147
BaseRepresentation
bin11011001010110010…
…100110100001110100
32210022001101112000110
4123022302212201310
5434221022111140
621222414343020
72051624321220
oct331262464164
983261345013
1029172066420
111140a964302
1257a17baa70
13299b9b1983
1415aa4cb780
15b5b0d5380
hex6caca6874

29172066420 has 96 divisors (see below), whose sum is σ = 93392990208. Its totient is φ = 6664874112.

The previous prime is 29172066397. The next prime is 29172066421. The reversal of 29172066420 is 2466027192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29172066421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 986287 + ... + 1015433.

It is an arithmetic number, because the mean of its divisors is an integer number (972843648).

Almost surely, 229172066420 is an apocalyptic number.

29172066420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29172066420 is an abundant number, since it is smaller than the sum of its proper divisors (64220923788).

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

29172066420 is a wasteful number, since it uses less digits than its factorization.

29172066420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31549 (or 31547 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 29172066420 in words is "twenty-nine billion, one hundred seventy-two million, sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 2383 4766 7149 9532 11915 14298 16681 23830 28596 29147 33362 35745 47660 50043 58294 66724 71490 83405 87441 100086 116588 142980 145735 166810 174882 200172 204029 250215 291470 333620 349764 408058 437205 500430 582940 612087 816116 874410 1000860 1020145 1224174 1748820 2040290 2448348 3060435 4080580 6120870 12241740 69457301 138914602 208371903 277829204 347286505 416743806 486201107 694573010 833487612 972402214 1041859515 1389146020 1458603321 1944804428 2083719030 2431005535 2917206642 4167438060 4862011070 5834413284 7293016605 9724022140 14586033210 29172066420