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368881671060 = 223257390774933
BaseRepresentation
bin1010101111000110000…
…11111001101110010100
31022021010222221110201100
411113203003321232110
522020432201433220
6441243434230100
735436142316640
oct5274303715624
91267128843640
10368881671060
111324950a5281
125b5a9885330
1328a29678956
1413bd5407c20
1598dea17d90
hex55e30f9b94

368881671060 has 144 divisors (see below), whose sum is σ = 1279134170496. Its totient is φ = 84293104896.

The previous prime is 368881671043. The next prime is 368881671083. The reversal of 368881671060 is 60176188863.

It is a junction number, because it is equal to n+sod(n) for n = 368881670988 and 368881671006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4885354 + ... + 4960286.

It is an arithmetic number, because the mean of its divisors is an integer number (8882876184).

Almost surely, 2368881671060 is an apocalyptic number.

368881671060 is a gapful number since it is divisible by the number (30) 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 368881671060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639567085248).

368881671060 is an abundant number, since it is smaller than the sum of its proper divisors (910252499436).

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

368881671060 is a wasteful number, since it uses less digits than its factorization.

368881671060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78862 (or 78857 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 368881671060 in words is "three hundred sixty-eight billion, eight hundred eighty-one million, six hundred seventy-one thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 3907 7814 11721 15628 19535 23442 27349 35163 39070 46884 54698 58605 70326 74933 78140 82047 109396 117210 136745 140652 149866 164094 175815 224799 234420 246141 273490 299732 328188 351630 374665 410235 449598 492282 524531 546980 674397 703260 749330 820470 899196 984564 1049062 1123995 1230705 1348794 1498660 1573593 1640940 2098124 2247990 2461410 2622655 2697588 3147186 3371985 4495980 4720779 4922820 5245310 6294372 6743970 7867965 9441558 10490620 13487940 15735930 18883116 23603895 31471860 47207790 94415580 292763231 585526462 878289693 1171052924 1463816155 1756579386 2049342617 2634869079 2927632310 3513158772 4098685234 4391448465 5269738158 5855264620 6148027851 8197370468 8782896930 10246713085 10539476316 12296055702 13174345395 17565793860 18444083553 20493426170 24592111404 26348690790 30740139255 36888167106 40986852340 52697381580 61480278510 73776334212 92220417765 122960557020 184440835530 368881671060