Search a number
-
+
13269726710820 = 2233517285029647
BaseRepresentation
bin1100000100011001100101…
…0110001100110000100100
31201222120111001220010101000
43001012121112030300210
53214402400014221240
644120010040033300
72536464124664526
oct301063126146044
951876431803330
1013269726710820
114256728872838
1215a3918762830
13753439916c58
1433c3886dda16
15180299237430
hexc119958cc24

13269726710820 has 144 divisors (see below), whose sum is σ = 43854891252480. Its totient is φ = 3330441174528.

The previous prime is 13269726710813. The next prime is 13269726710831. The reversal of 13269726710820 is 2801762796231.

It is a happy number.

13269726710820 is a `hidden beast` number, since 13 + 269 + 7 + 267 + 108 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 42358764 + ... + 42670883.

It is an arithmetic number, because the mean of its divisors is an integer number (304547855920).

Almost surely, 213269726710820 is an apocalyptic number.

13269726710820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13269726710820 is an abundant number, since it is smaller than the sum of its proper divisors (30585164541660).

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

13269726710820 is a wasteful number, since it uses less digits than its factorization.

13269726710820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85029699 (or 85029674 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 13269726710820 in words is "thirteen trillion, two hundred sixty-nine billion, seven hundred twenty-six million, seven hundred ten thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 289 306 340 459 510 540 578 612 765 867 918 1020 1156 1445 1530 1734 1836 2295 2601 2890 3060 3468 4335 4590 5202 5780 7803 8670 9180 10404 13005 15606 17340 26010 31212 39015 52020 78030 156060 85029647 170059294 255088941 340118588 425148235 510177882 765266823 850296470 1020355764 1275444705 1445503999 1530533646 1700592940 2295800469 2550889410 2891007998 3061067292 3826334115 4336511997 4591600938 5101778820 5782015996 7227519995 7652668230 8673023994 9183201876 11479002345 13009535991 14455039990 15305336460 17346047988 21682559985 22958004690 24573567983 26019071982 28910079980 39028607973 43365119970 45916009380 49147135966 52038143964 65047679955 73720703949 78057215946 86730239940 98294271932 122867839915 130095359910 147441407898 156114431892 195143039865 221162111847 245735679830 260190719820 294882815796 368603519745 390286079730 442324223694 491471359660 663486335541 737207039490 780572159460 884648447388 1105810559235 1326972671082 1474414078980 2211621118470 2653945342164 3317431677705 4423242236940 6634863355410 13269726710820