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389948129640 = 23345532270837
BaseRepresentation
bin1011010110010101011…
…10000100000101101000
31101021112011012110010000
411223022232010011220
522342103210122030
6455050101423000
740113164261346
oct5531256040550
91337464173100
10389948129640
1114041560a423
12636a8a0aa60
132aa05c8c364
1414c331ba996
15a2241e1860
hex5acab84168

389948129640 has 160 divisors (see below), whose sum is σ = 1335388994280. Its totient is φ = 102024119808.

The previous prime is 389948129633. The next prime is 389948129689. The reversal of 389948129640 is 46921849983.

389948129640 is a `hidden beast` number, since 3 + 8 + 99 + 481 + 2 + 9 + 64 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 353756111076 + 36192018564 = 594774^2 + 190242^2 .

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 39 ways as a sum of consecutive naturals, for example, 963699 + ... + 1307138.

Almost surely, 2389948129640 is an apocalyptic number.

389948129640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

389948129640 is an abundant number, since it is smaller than the sum of its proper divisors (945440864640).

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

389948129640 is a wasteful number, since it uses less digits than its factorization.

389948129640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270913 (or 2270900 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 389948129640 in words is "three hundred eighty-nine billion, nine hundred forty-eight million, one hundred twenty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 81 90 106 108 120 135 159 162 180 212 216 265 270 318 324 360 405 424 477 530 540 636 648 795 810 954 1060 1080 1272 1431 1590 1620 1908 2120 2385 2862 3180 3240 3816 4293 4770 5724 6360 7155 8586 9540 11448 14310 17172 19080 21465 28620 34344 42930 57240 85860 171720 2270837 4541674 6812511 9083348 11354185 13625022 18166696 20437533 22708370 27250044 34062555 40875066 45416740 54500088 61312599 68125110 81750132 90833480 102187665 120354361 122625198 136250220 163500264 183937797 204375330 240708722 245250396 272500440 306562995 361063083 367875594 408750660 481417444 490500792 601771805 613125990 722126166 735751188 817501320 919688985 962834888 1083189249 1203543610 1226251980 1444252332 1471502376 1805315415 1839377970 2166378498 2407087220 2452503960 2888504664 3249567747 3610630830 3678755940 4332756996 4814174440 5415946245 6499135494 7221261660 7357511880 8665513992 9748703241 10831892490 12998270988 14442523320 16247838735 19497406482 21663784980 25996541976 32495677470 38994812964 43327569960 48743516205 64991354940 77989625928 97487032410 129982709880 194974064820 389948129640