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20012254001408 = 28617333174761
BaseRepresentation
bin1001000110011011101110…
…10010100111100100000000
32121212011010101112021102202
410203031313102213210000
510110340044011021113
6110321300315532332
74133560211224334
oct443156722474400
977764111467382
1020012254001408
116416170735729
1222b261345a0a8
13b221bbc5c346
144d28538b77c4
1524a870a7b258
hex1233774a7900

20012254001408 has 72 divisors (see below), whose sum is σ = 40606962222456. Its totient is φ = 9840693657600.

The previous prime is 20012254001401. The next prime is 20012254001413. The reversal of 20012254001408 is 80410045221002.

It can be written as a sum of positive squares in 4 ways, for example, as 5774370552064 + 14237883449344 = 2402992^2 + 3773312^2 .

It is not an unprimeable number, because it can be changed into a prime (20012254001401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114424748 + ... + 114599508.

It is an arithmetic number, because the mean of its divisors is an integer number (563985586423).

Almost surely, 220012254001408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20012254001408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20303481111228).

20012254001408 is an abundant number, since it is smaller than the sum of its proper divisors (20594708221048).

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

20012254001408 is an equidigital number, since it uses as much as digits as its factorization.

20012254001408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182171 (or 182157 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The spelling of 20012254001408 in words is "twenty trillion, twelve billion, two hundred fifty-four million, one thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 976 1952 3904 7333 7808 14666 15616 29332 58664 117328 174761 234656 349522 447313 469312 699044 894626 938624 1398088 1789252 1877248 2796176 3578504 5592352 7157008 10660421 11184704 14314016 21320842 22369408 28628032 42641684 44738816 57256064 85283368 114512128 170566736 341133472 682266944 1281522413 1364533888 2563044826 2729067776 5126089652 10252179304 20504358608 41008717216 78172867193 82017434432 156345734386 164034868864 312691468772 328069737728 625382937544 1250765875088 2501531750176 5003063500352 10006127000704 20012254001408