Search a number
-
+
3356645135640 = 2335647264716333
BaseRepresentation
bin110000110110000111101…
…001000001010100011000
3102212220002101000100012220
4300312013221001110120
5414443402123320030
611050004350304040
7464336536614456
oct60660751012430
912786071010186
103356645135640
1110845aa742865
124626597b8020
131b46b8037144
14b866910d9d6
155c4a9d66a10
hex30d87a41518

3356645135640 has 128 divisors (see below), whose sum is σ = 10089927336960. Its totient is φ = 893329565184.

The previous prime is 3356645135629. The next prime is 3356645135651. The reversal of 3356645135640 is 465315466533.

It is an interprime number because it is at equal distance from previous prime (3356645135629) and next prime (3356645135651).

It is a super-2 number, since 2×33566451356402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 205504914 + ... + 205521246.

It is an arithmetic number, because the mean of its divisors is an integer number (78827557320).

Almost surely, 23356645135640 is an apocalyptic number.

3356645135640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3356645135640 is an abundant number, since it is smaller than the sum of its proper divisors (6733282201320).

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

3356645135640 is a wasteful number, since it uses less digits than its factorization.

3356645135640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19641 (or 19637 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 51.

The spelling of 3356645135640 in words is "three trillion, three hundred fifty-six billion, six hundred forty-five million, one hundred thirty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 647 1294 1941 2588 2647 3235 3882 5176 5294 6470 7764 7941 9705 10588 12940 13235 15528 15882 16333 19410 21176 25880 26470 31764 32666 38820 39705 48999 52940 63528 65332 77640 79410 81665 97998 105880 130664 158820 163330 195996 244995 317640 326660 391992 489990 653320 979980 1712609 1959960 3425218 5137827 6850436 8563045 10275654 10567451 13700872 17126090 20551308 21134902 25689135 31702353 34252180 41102616 42269804 43233451 51378270 52837255 63404706 68504360 84539608 86466902 102756540 105674510 126809412 129700353 158511765 172933804 205513080 211349020 216167255 253618824 259400706 317023530 345867608 422698040 432334510 518801412 634047060 648501765 864669020 1037602824 1268094120 1297003530 1729338040 2594007060 5188014120 27972042797 55944085594 83916128391 111888171188 139860213985 167832256782 223776342376 279720427970 335664513564 419580641955 559440855940 671329027128 839161283910 1118881711880 1678322567820 3356645135640