Search a number
-
+
2132526919820 = 2251127164719183
BaseRepresentation
bin11111000010000100100…
…000100111000010001100
321112212102110121220220212
4133002010200213002030
5234414403342413240
64311400324501552
7310033001510423
oct37020440470214
97485373556825
102132526919820
11752443940200
122a536ab4a8b8
13126133b0231b
14753017b62ba
153a712ad8165
hex1f08482708c

2132526919820 has 144 divisors (see below), whose sum is σ = 4999742060544. Its totient is φ = 763320835200.

The previous prime is 2132526919811. The next prime is 2132526919829. The reversal of 2132526919820 is 289196252312.

It is an interprime number because it is at equal distance from previous prime (2132526919811) and next prime (2132526919829).

It is not an unprimeable number, because it can be changed into a prime (2132526919829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111157949 + ... + 111177131.

It is an arithmetic number, because the mean of its divisors is an integer number (34720430976).

Almost surely, 22132526919820 is an apocalyptic number.

2132526919820 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 2132526919820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499871030272).

2132526919820 is an abundant number, since it is smaller than the sum of its proper divisors (2867215140724).

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

2132526919820 is a wasteful number, since it uses less digits than its factorization.

2132526919820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19932 (or 19919 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 50.

The spelling of 2132526919820 in words is "two trillion, one hundred thirty-two billion, five hundred twenty-six million, nine hundred nineteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 121 142 220 242 284 355 484 605 647 710 781 1210 1294 1420 1562 2420 2588 3124 3235 3905 6470 7117 7810 8591 12940 14234 15620 17182 19183 28468 34364 35585 38366 42955 45937 71170 76732 78287 85910 91874 95915 142340 156574 171820 183748 191830 211013 229685 313148 383660 391435 422026 459370 505307 782870 844052 918740 1010614 1055065 1361993 1565740 2021228 2110130 2321143 2526535 2723986 4220260 4642286 5053070 5447972 5558377 6809965 9284572 10106140 11116754 11605715 12411401 13619930 14981923 22233508 23211430 24822802 27239860 27791885 29963846 46422860 49645604 55583770 59927692 62057005 74909615 111167540 124114010 136525411 149819230 164801153 248228020 273050822 299638460 329602306 546101644 659204612 682627055 824005765 881209471 1365254110 1501779521 1648011530 1762418942 2730508220 3003559042 3296023060 3524837884 4406047355 6007118084 7508897605 8812094710 9693304181 15017795210 17624189420 19386608362 30035590420 38773216724 48466520905 96933041810 106626345991 193866083620 213252691982 426505383964 533131729955 1066263459910 2132526919820