Search a number
-
+
11838422949120 = 283251027640881
BaseRepresentation
bin1010110001000101100011…
…1111101001110100000000
31112220202001001100110200200
42230101120333221310000
53022430042233332440
641102255121045200
72331204104520225
oct254213077516400
945822031313620
1011838422949120
113854713145009
1213b2447a86800
1367b4877c3a81
142ccda886994c
15157e27cb8c30
hexac458fe9d00

11838422949120 has 108 divisors (see below), whose sum is σ = 40959710274756. Its totient is φ = 3156912783360.

The previous prime is 11838422949077. The next prime is 11838422949137. The reversal of 11838422949120 is 2194922483811.

11838422949120 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 8 + 422 + 94 + 9 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3758821357824 + 8079601591296 = 1938768^2 + 2842464^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 513808921 + ... + 513831960.

Almost surely, 211838422949120 is an apocalyptic number.

11838422949120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11838422949120 is an abundant number, since it is smaller than the sum of its proper divisors (29121287325636).

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

11838422949120 is a wasteful number, since it uses less digits than its factorization.

11838422949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027640908 (or 1027640891 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 11838422949120 in words is "eleven trillion, eight hundred thirty-eight billion, four hundred twenty-two million, nine hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 1027640881 2055281762 3082922643 4110563524 5138204405 6165845286 8221127048 9248767929 10276408810 12331690572 15414613215 16442254096 18497535858 20552817620 24663381144 30829226430 32884508192 36995071716 41105635240 46243839645 49326762288 61658452860 65769016384 73990143432 82211270480 92487679290 98653524576 123316905720 131538032768 147980286864 164422540960 184975358580 197307049152 246633811440 263076065536 295960573728 328845081920 369950717160 394614098304 493267622880 591921147456 657690163840 739901434320 789228196608 986535245760 1183842294912 1315380327680 1479802868640 1973070491520 2367684589824 2959605737280 3946140983040 5919211474560 11838422949120