Search a number
-
+
20387798631225 = 3252172177072
BaseRepresentation
bin1001010001010111001110…
…11111101100001100111001
32200012001110202000010021100
410220223213133230030321
510133013202422144400
6111210005252402013
74202653441011114
oct450534737541471
980161422003240
1020387798631225
116550464900493
122353360616309
13b4b73ab4422c
14506abbb8557b
152555004d4100
hex128ae77ec339

20387798631225 has 81 divisors (see below), whose sum is σ = 38793407067597. Its totient is φ = 10233297434880.

The previous prime is 20387798631223. The next prime is 20387798631241. The reversal of 20387798631225 is 52213689778302.

The square root of 20387798631225 is 4515285.

It is a perfect power (a square), and thus also a powerful number.

20387798631225 is a `hidden beast` number, since 2 + 0 + 387 + 79 + 8 + 63 + 122 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 476891068329 + 19910907562896 = 690573^2 + 4462164^2 .

It is not a de Polignac number, because 20387798631225 - 21 = 20387798631223 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20387798631223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1151388822 + ... + 1151406528.

Almost surely, 220387798631225 is an apocalyptic number.

20387798631225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20387798631225 is the 4515285-th square number.

20387798631225 is the 2257643-rd centered octagonal number.

It is an amenable number.

20387798631225 is a deficient number, since it is larger than the sum of its proper divisors (18405608436372).

20387798631225 is an frugal number, since it uses more digits than its factorization.

20387798631225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35464 (or 17732 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 20387798631225 in words is "twenty trillion, three hundred eighty-seven billion, seven hundred ninety-eight million, six hundred thirty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 289 425 765 867 1275 1445 2601 3825 4335 7225 13005 17707 21675 53121 65025 88535 159363 265605 301019 442675 796815 903057 1328025 1505095 2709171 3984075 4515285 5117323 7525475 13545855 15351969 22576425 25586615 46055907 67729275 76759845 127933075 230279535 313537849 383799225 940613547 1151397675 1567689245 2821840641 4703067735 5330143433 7838446225 14109203205 15990430299 23515338675 26650717165 47971290897 70546016025 79952151495 90612438361 133253585825 239856454485 271837315083 399760757475 453062191805 815511945249 1199282272425 1359186575415 2265310959025 4077559726245 6795932877075 20387798631225