Search a number
-
+
11225540450520 = 23325112834732437
BaseRepresentation
bin1010001101011010011001…
…0110011101100011011000
31110202011002012210200100200
42203112212112131203120
52432404401323404040
635512535254102200
72236006233321234
oct243264626354330
943664065720320
1011225540450520
1136387a7a31660
12131370294a960
13635743c25436
142ab4676c55c4
15147006ea9630
hexa35a659d8d8

11225540450520 has 96 divisors (see below), whose sum is σ = 39799643429520. Its totient is φ = 2721343138560.

The previous prime is 11225540450437. The next prime is 11225540450521. The reversal of 11225540450520 is 2505404552211.

11225540450520 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 55 + 40 + 45 + 0 + 520 = 666.

11225540450520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11225540450521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1417362259 + ... + 1417370178.

Almost surely, 211225540450520 is an apocalyptic number.

11225540450520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11225540450520 is an abundant number, since it is smaller than the sum of its proper divisors (28574102979000).

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

11225540450520 is a wasteful number, since it uses less digits than its factorization.

11225540450520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834732465 (or 2834732458 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 11225540450520 in words is "eleven trillion, two hundred twenty-five billion, five hundred forty million, four hundred fifty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 2834732437 5669464874 8504197311 11338929748 14173662185 17008394622 22677859496 25512591933 28347324370 31182056807 34016789244 42520986555 51025183866 56694648740 62364113614 68033578488 85041973110 93546170421 102050367732 113389297480 124728227228 127562959665 155910284035 170083946220 187092340842 204100735464 249456454456 255125919330 280638511263 311820568070 340167892440 374184681684 467730852105 510251838660 561277022526 623641136140 748369363368 935461704210 1020503677320 1122554045052 1247282272280 1403192556315 1870923408420 2245108090104 2806385112630 3741846816840 5612770225260 11225540450520