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27443023740 = 2232511109127157
BaseRepresentation
bin11001100011101110…
…110100111101111100
32121211112220001100200
4121203232310331330
5422200403224430
620335051123500
71661030565366
oct314356647574
977745801320
1027443023740
1110702964a10
12539a743590
1327847070b2
141484a05d36
15aa93e6460
hex663bb4f7c

27443023740 has 144 divisors (see below), whose sum is σ = 91645313760. Its totient is φ = 6591767040.

The previous prime is 27443023703. The next prime is 27443023757. The reversal of 27443023740 is 4732034472.

It is a super-3 number, since 3×274430237403 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27443023695 and 27443023704.

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, 152242 + ... + 279398.

It is an arithmetic number, because the mean of its divisors is an integer number (636425790).

Almost surely, 227443023740 is an apocalyptic number.

27443023740 is a gapful number since it is divisible by the number (20) 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 27443023740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45822656880).

27443023740 is an abundant number, since it is smaller than the sum of its proper divisors (64202290020).

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

27443023740 is a wasteful number, since it uses less digits than its factorization.

27443023740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127292 (or 127287 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The spelling of 27443023740 in words is "twenty-seven billion, four hundred forty-three million, twenty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 109 110 132 165 180 198 218 220 327 330 396 436 495 545 654 660 981 990 1090 1199 1308 1635 1962 1980 2180 2398 3270 3597 3924 4796 4905 5995 6540 7194 9810 10791 11990 14388 17985 19620 21582 23980 35970 43164 53955 71940 107910 127157 215820 254314 381471 508628 635785 762942 1144413 1271570 1398727 1525884 1907355 2288826 2543140 2797454 3814710 4196181 4577652 5594908 5722065 6993635 7629420 8392362 11444130 12588543 13860113 13987270 16784724 20980905 22888260 25177086 27720226 27974540 41580339 41961810 50354172 55440452 62942715 69300565 83160678 83923620 124741017 125885430 138601130 152461243 166321356 207901695 249482034 251770860 277202260 304922486 415803390 457383729 498964068 609844972 623705085 762306215 831606780 914767458 1247410170 1372151187 1524612430 1829534916 2286918645 2494820340 2744302374 3049224860 4573837290 5488604748 6860755935 9147674580 13721511870 27443023740