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28181134260 = 223251719946279
BaseRepresentation
bin11010001111101110…
…011111101110110100
32200201222202221122100
4122033232133232310
5430203332244020
620540215302100
72015232455166
oct321756375664
980658687570
1028181134260
1110a51574304
12556597a930
1328715cac96
141514a60936
15aee0e5a90
hex68fb9fbb4

28181134260 has 144 divisors (see below), whose sum is σ = 90967968000. Its totient is φ = 7037217792.

The previous prime is 28181134259. The next prime is 28181134291. The reversal of 28181134260 is 6243118182.

28181134260 is a `hidden beast` number, since 281 + 8 + 113 + 4 + 260 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 585801 + ... + 632079.

It is an arithmetic number, because the mean of its divisors is an integer number (631722000).

Almost surely, 228181134260 is an apocalyptic number.

28181134260 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 28181134260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45483984000).

28181134260 is an abundant number, since it is smaller than the sum of its proper divisors (62786833740).

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

28181134260 is a wasteful number, since it uses less digits than its factorization.

28181134260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46510 (or 46505 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 28181134260 in words is "twenty-eight billion, one hundred eighty-one million, one hundred thirty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 199 204 255 306 340 398 510 597 612 765 796 995 1020 1194 1530 1791 1990 2388 2985 3060 3383 3582 3980 5970 6766 7164 8955 10149 11940 13532 16915 17910 20298 30447 33830 35820 40596 46279 50745 60894 67660 92558 101490 121788 138837 152235 185116 202980 231395 277674 304470 416511 462790 555348 608940 694185 786743 833022 925580 1388370 1573486 1666044 2082555 2360229 2776740 3146972 3933715 4165110 4720458 7080687 7867430 8330220 9209521 9440916 11801145 14161374 15734860 18419042 23602290 27628563 28322748 35403435 36838084 46047605 47204580 55257126 70806870 82885689 92095210 110514252 138142815 141613740 156561857 165771378 184190420 276285630 313123714 331542756 414428445 469685571 552571260 626247428 782809285 828856890 939371142 1409056713 1565618570 1657713780 1878742284 2348427855 2818113426 3131237140 4696855710 5636226852 7045283565 9393711420 14090567130 28181134260