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18923857224336 = 2432157223092
BaseRepresentation
bin1000100110110000011011…
…10010011010001010010000
32111000002210010222022020100
410103120031302122022100
54440022024422134321
6104125255555412400
73662126552244141
oct423301562321220
974002703868210
1018923857224336
116036621071879
1221576a15b4100
13a7368706526c
14495cc3465ac8
1522c3bdac2326
hex11360dc9a290

18923857224336 has 135 divisors (see below), whose sum is σ = 53323087394811. Its totient is φ = 6265059869952.

The previous prime is 18923857224299. The next prime is 18923857224341. The reversal of 18923857224336 is 63342275832981.

The square root of 18923857224336 is 4350156.

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

18923857224336 is a `hidden beast` number, since 1 + 8 + 9 + 2 + 3 + 8 + 572 + 24 + 3 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 438535328400 + 18485321895936 = 662220^2 + 4299456^2 .

It is a super-2 number, since 2×189238572243362 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8195692750 + ... + 8195695058.

Almost surely, 218923857224336 is an apocalyptic number.

18923857224336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18923857224336 is the 4350156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18923857224336

18923857224336 is an abundant number, since it is smaller than the sum of its proper divisors (34399230170475).

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

18923857224336 is an frugal number, since it uses more digits than its factorization.

18923857224336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946 (or 2471 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 18923857224336 in words is "eighteen trillion, nine hundred twenty-three billion, eight hundred fifty-seven million, two hundred twenty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 314 471 628 942 1256 1413 1884 2309 2512 2826 3768 4618 5652 6927 7536 9236 11304 13854 18472 20781 22608 24649 27708 36944 41562 49298 55416 73947 83124 98596 110832 147894 166248 197192 221841 295788 332496 362513 394384 443682 591576 725026 887364 1087539 1183152 1450052 1774728 2175078 2900104 3262617 3549456 4350156 5331481 5800208 6525234 8700312 10662962 13050468 15994443 17400624 21325924 26100936 31988886 42651848 47983329 52201872 56914541 63977772 85303696 95966658 113829082 127955544 170743623 191933316 227658164 255911088 341487246 383866632 455316328 512230869 682974492 767733264 837042517 910632656 1024461738 1365948984 1674085034 2048923476 2511127551 2731897968 3348170068 4097846952 5022255102 6696340136 7533382653 8195693904 10044510204 13392680272 15066765306 20089020408 30133530612 40178040816 60267061224 120534122448 131415675169 262831350338 394247025507 525662700676 788494051014 1051325401352 1182741076521 1576988102028 2102650802704 2365482153042 3153976204056 4730964306084 6307952408112 9461928612168 18923857224336