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1981396879640 = 235597915170381
BaseRepresentation
bin11100110101010100011…
…101010000100100011000
321000102022221210102100022
4130311110131100210120
5224430400100122030
64114124031330012
7263102601406403
oct34652435204430
97012287712308
101981396879640
116a433a97a152
12280011980908
13114aca3b4b49
146bc85d06d3a
1536819bdbde5
hex1cd54750918

1981396879640 has 128 divisors (see below), whose sum is σ = 4621563648000. Its totient is φ = 764157888000.

The previous prime is 1981396879639. The next prime is 1981396879667. The reversal of 1981396879640 is 469786931891.

It is a Cunningham number, because it is equal to 14076212-1.

It is a super-3 number, since 3×19813968796403 (a number of 38 digits) contains 333 as substring.

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, 28117250 + ... + 28187630.

It is an arithmetic number, because the mean of its divisors is an integer number (36105966000).

Almost surely, 21981396879640 is an apocalyptic number.

1981396879640 is a gapful number since it is divisible by the number (10) 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 1981396879640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310781824000).

1981396879640 is an abundant number, since it is smaller than the sum of its proper divisors (2640166768360).

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

1981396879640 is a wasteful number, since it uses less digits than its factorization.

1981396879640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70681 (or 70677 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 71.

The spelling of 1981396879640 in words is "one trillion, nine hundred eighty-one billion, three hundred ninety-six million, eight hundred seventy-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 59 79 118 151 158 236 295 302 316 395 472 590 604 632 755 790 1180 1208 1510 1580 2360 3020 3160 4661 6040 8909 9322 11929 17818 18644 23305 23858 35636 37288 44545 46610 47716 59645 70381 71272 89090 93220 95432 119290 140762 178180 186440 238580 281524 351905 356360 477160 563048 703810 703811 1407620 1407622 2815240 2815244 3519055 4152479 5560099 5630488 7038110 8304958 10627531 11120198 14076220 16609916 20762395 21255062 22240396 27800495 28152440 33219832 41524790 42510124 44480792 53137655 55600990 83049580 85020248 106275310 111201980 166099160 212550620 222403960 328045841 425101240 627024329 656091682 839574949 1254048658 1312183364 1640229205 1679149898 2508097316 2624366728 3135121645 3280458410 3358299796 4197874745 5016194632 6270243290 6560916820 6716599592 8395749490 12540486580 13121833640 16791498980 25080973160 33582997960 49534921991 99069843982 198139687964 247674609955 396279375928 495349219910 990698439820 1981396879640