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20132882456940 = 22335113389374151
BaseRepresentation
bin1001001001111100011010…
…10011101010000101101100
32122021200111012020201212000
410210332031103222011230
510114324120402110230
6110452530222212300
74145360411202531
oct444761523520554
978250435221760
1020132882456940
116462342313790
122311a79724090
13b306a43c6296
144d8618492d88
1524da80cc0b60
hex124f8d4ea16c

20132882456940 has 96 divisors (see below), whose sum is σ = 68329782904320. Its totient is φ = 4880698776000.

The previous prime is 20132882456881. The next prime is 20132882456977. The reversal of 20132882456940 is 4965428823102.

20132882456940 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 28 + 82 + 456 + 94 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1694681136 + ... + 1694693015.

It is an arithmetic number, because the mean of its divisors is an integer number (711768571920).

Almost surely, 220132882456940 is an apocalyptic number.

20132882456940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20132882456940 is an abundant number, since it is smaller than the sum of its proper divisors (48196900447380).

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

20132882456940 is a wasteful number, since it uses less digits than its factorization.

20132882456940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3389374180 (or 3389374172 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 20132882456940 in words is "twenty trillion, one hundred thirty-two billion, eight hundred eighty-two million, four hundred fifty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 3389374151 6778748302 10168122453 13557496604 16946870755 20336244906 30504367359 33893741510 37283115661 40672489812 50840612265 61008734718 67787483020 74566231322 91513102077 101681224530 111849346983 122017469436 149132462644 152521836795 183026204154 186415578305 203362449060 223698693966 305043673590 335548040949 366052408308 372831156610 447397387932 457565510385 559246734915 610087347180 671096081898 745662313220 915131020770 1006644122847 1118493469830 1342192163796 1677740204745 1830262041540 2013288245694 2236986939660 3355480409490 4026576491388 5033220614235 6710960818980 10066441228470 20132882456940