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37681111140 = 22352329941557
BaseRepresentation
bin100011000101111110…
…000010000001100100
310121021001122202222220
4203011332002001210
51104132331024030
625151020552340
72502526105611
oct430576020144
9117231582886
1037681111140
1114a87006572
1273773b26b0
13372682598a
141b76623508
15ea8133a10
hex8c5f82064

37681111140 has 96 divisors (see below), whose sum is σ = 113890855680. Its totient is φ = 9279975936.

The previous prime is 37681111129. The next prime is 37681111157. The reversal of 37681111140 is 4111118673.

It is a super-4 number, since 4×376811111404 (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 430759 + ... + 510798.

It is an arithmetic number, because the mean of its divisors is an integer number (1186363080).

Almost surely, 237681111140 is an apocalyptic number.

37681111140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

37681111140 is an abundant number, since it is smaller than the sum of its proper divisors (76209744540).

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

37681111140 is a wasteful number, since it uses less digits than its factorization.

37681111140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941621 (or 941619 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The spelling of 37681111140 in words is "thirty-seven billion, six hundred eighty-one million, one hundred eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 29 30 46 58 60 69 87 92 115 116 138 145 174 230 276 290 345 348 435 460 580 667 690 870 1334 1380 1740 2001 2668 3335 4002 6670 8004 10005 13340 20010 40020 941557 1883114 2824671 3766228 4707785 5649342 9415570 11298684 14123355 18831140 21655811 27305153 28246710 43311622 54610306 56493420 64967433 81915459 86623244 108279055 109220612 129934866 136525765 163830918 216558110 259869732 273051530 324837165 327661836 409577295 433116220 546103060 628018519 649674330 819154590 1256037038 1299348660 1638309180 1884055557 2512074076 3140092595 3768111114 6280185190 7536222228 9420277785 12560370380 18840555570 37681111140