Search a number
-
+
20548755270 = 23351719492297
BaseRepresentation
bin10011001000110011…
…010001111101000110
31222001002002220222000
4103020303101331012
5314040440132040
613235011050130
71325134352331
oct231063217506
958032086860
1020548755270
118795266a7a
123b958a0946
131c262a06b4
14dcd12d618
15804015130
hex4c8cd1f46

20548755270 has 128 divisors (see below), whose sum is σ = 58075056000. Its totient is φ = 5152444416.

The previous prime is 20548755257. The next prime is 20548755307. The reversal of 20548755270 is 7255784502.

20548755270 is a `hidden beast` number, since 2 + 0 + 54 + 8 + 75 + 527 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8944762 + ... + 8947058.

It is an arithmetic number, because the mean of its divisors is an integer number (453711375).

Almost surely, 220548755270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20548755270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29037528000).

20548755270 is an abundant number, since it is smaller than the sum of its proper divisors (37526300730).

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

20548755270 is a wasteful number, since it uses less digits than its factorization.

20548755270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4279 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 20548755270 in words is "twenty billion, five hundred forty-eight million, seven hundred fifty-five thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 1949 2295 2297 3898 4590 4594 5847 6891 9745 11485 11694 13782 17541 19490 20673 22970 29235 33133 34455 35082 39049 41346 52623 58470 62019 66266 68910 78098 87705 99399 103365 105246 117147 124038 165665 175410 195245 198798 206730 234294 263115 298197 310095 331330 351441 390490 496995 526230 585735 596394 620190 702882 894591 993990 1054323 1171470 1490985 1757205 1789182 2108646 2981970 3514410 4472955 4476853 5271615 8945910 8953706 10543230 13430559 22384265 26861118 40291677 44768530 67152795 76106501 80583354 120875031 134305590 152213002 201458385 228319503 241750062 380532505 402916770 456639006 604375155 684958509 761065010 1141597515 1208750310 1369917018 2054875527 2283195030 3424792545 4109751054 6849585090 10274377635 20548755270