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27574665990 = 23519163449661
BaseRepresentation
bin11001101011100101…
…000000001100000110
32122011201121011120120
4121223211000030012
5422433103302430
620400112442410
71664216536134
oct315345001406
978151534516
1027574665990
11107701a8763
125416849406
1327a5a79211
1414982b2754
15ab5c4b610
hex66b940306

27574665990 has 128 divisors (see below), whose sum is σ = 70352064000. Its totient is φ = 6897623040.

The previous prime is 27574665973. The next prime is 27574666069. The reversal of 27574665990 is 9956647572.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41716260 + ... + 41716920.

It is an arithmetic number, because the mean of its divisors is an integer number (549625500).

Almost surely, 227574665990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27574665990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35176032000).

27574665990 is an abundant number, since it is smaller than the sum of its proper divisors (42777398010).

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

27574665990 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (27574665989) it forms an eRAP, since the sums of their prime factors are consecutive (1301 and 1302).

27574665990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302.

The product of its (nonzero) digits is 28576800, while the sum is 60.

The spelling of 27574665990 in words is "twenty-seven billion, five hundred seventy-four million, six hundred sixty-five thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 163 190 285 326 449 489 570 661 815 898 978 1322 1347 1630 1983 2245 2445 2694 3097 3305 3966 4490 4890 6194 6610 6735 8531 9291 9915 12559 13470 15485 17062 18582 19830 25118 25593 30970 37677 42655 46455 51186 62795 73187 75354 85310 92910 107743 125590 127965 146374 188385 215486 219561 255930 296789 323229 365935 376770 439122 538715 593578 646458 731870 890367 1077430 1097805 1390553 1483945 1616145 1780734 2047117 2195610 2781106 2967890 3232290 4094234 4171659 4451835 5638991 6141351 6952765 8343318 8903670 10235585 11277982 12282702 13905530 16916973 20471170 20858295 28194955 30706755 33833946 41716590 48376607 56389910 61413510 84584865 96753214 145129821 169169730 241883035 290259642 483766070 725649105 919155533 1451298210 1838311066 2757466599 4595777665 5514933198 9191555330 13787332995 27574665990