Search a number
-
+
29769670392 = 23371173220673
BaseRepresentation
bin11011101110011010…
…010001111011111000
32211211200212221112220
4123232122101323320
5441432013423032
621402003204040
72102502010650
oct335632217370
984750787486
1029769670392
1111697225a90
125929976620
132a6574baa7
141625a0d360
15b937cd12c
hex6ee691ef8

29769670392 has 128 divisors (see below), whose sum is σ = 94060085760. Its totient is φ = 7626424320.

The previous prime is 29769670349. The next prime is 29769670423. The reversal of 29769670392 is 29307696792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24568 + ... + 245240.

It is an arithmetic number, because the mean of its divisors is an integer number (734844420).

Almost surely, 229769670392 is an apocalyptic number.

29769670392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29769670392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47030042880).

29769670392 is an abundant number, since it is smaller than the sum of its proper divisors (64290415368).

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

29769670392 is a wasteful number, since it uses less digits than its factorization.

29769670392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220773 (or 220769 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 60.

The spelling of 29769670392 in words is "twenty-nine billion, seven hundred sixty-nine million, six hundred seventy thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 73 77 84 88 132 146 154 168 219 231 264 292 308 438 462 511 584 616 803 876 924 1022 1533 1606 1752 1848 2044 2409 3066 3212 4088 4818 5621 6132 6424 9636 11242 12264 16863 19272 22484 33726 44968 67452 134904 220673 441346 662019 882692 1324038 1544711 1765384 2427403 2648076 3089422 4634133 4854806 5296152 6178844 7282209 9268266 9709612 12357688 14564418 16109129 16991821 18536532 19419224 29128836 32218258 33983642 37073064 48327387 50975463 58257672 64436516 67967284 96654774 101950926 112763903 128873032 135934568 177200419 193309548 203901852 225527806 338291709 354400838 386619096 407803704 451055612 531601257 676583418 708801676 902111224 1063202514 1240402933 1353166836 1417603352 2126405028 2480805866 2706333672 3721208799 4252810056 4961611732 7442417598 9923223464 14884835196 29769670392