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21838953240 = 23335131555481
BaseRepresentation
bin10100010101101100…
…111111101100011000
32002100222211202212000
4110111230333230120
5324211233000430
614011020321000
71402122016416
oct242554775430
962328752760
1021838953240
119297579895
1242959a3160
1320a0685c50
1410b261c2b6
1587c41ae60
hex515b3fb18

21838953240 has 128 divisors (see below), whose sum is σ = 78396292800. Its totient is φ = 5375738880.

The previous prime is 21838953217. The next prime is 21838953251. The reversal of 21838953240 is 4235983812.

21838953240 is a `hidden beast` number, since 21 + 8 + 389 + 5 + 3 + 240 = 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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 763701 + ... + 791780.

Almost surely, 221838953240 is an apocalyptic number.

21838953240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21838953240 is an abundant number, since it is smaller than the sum of its proper divisors (56557339560).

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

21838953240 is a wasteful number, since it uses less digits than its factorization.

21838953240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555514 (or 1555504 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 21838953240 in words is "twenty-one billion, eight hundred thirty-eight million, nine hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 1555481 3110962 4666443 6221924 7777405 9332886 12443848 13999329 15554810 18665772 20221253 23332215 27998658 31109620 37331544 40442506 41997987 46664430 55997316 60663759 62219240 69996645 80885012 83995974 93328860 101106265 111994632 121327518 139993290 161770024 167991948 181991277 186657720 202212530 209989935 242655036 279986580 303318795 335983896 363982554 404425060 419979870 485310072 545973831 559973160 606637590 727965108 808850120 839959740 909956385 1091947662 1213275180 1455930216 1679919480 1819912770 2183895324 2426550360 2729869155 3639825540 4367790648 5459738310 7279651080 10919476620 21838953240