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194343432336 = 243217221612
BaseRepresentation
bin1011010011111111000…
…1010111000010010000
3200120122010110021102100
42310333301113002100
511141003404313321
6225140302120400
720020003630044
oct2647761270220
9616563407370
10194343432336
117546988a199
12317b9280100
131543244a111
149598b50024
1550c6a79326
hex2d3fc57090

194343432336 has 135 divisors (see below), whose sum is σ = 578034780843. Its totient is φ = 60942274560.

The previous prime is 194343432329. The next prime is 194343432337. The reversal of 194343432336 is 633234343491.

The square root of 194343432336 is 440844.

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

194343432336 is a `hidden beast` number, since 194 + 3 + 434 + 3 + 23 + 3 + 6 = 666.

194343432336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 32855187600 + 161488244736 = 181260^2 + 401856^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 194343432291 and 194343432300.

It is not an unprimeable number, because it can be changed into a prime (194343432337) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 89931096 + ... + 89933256.

Almost surely, 2194343432336 is an apocalyptic number.

194343432336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

194343432336 is the 440844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194343432336

194343432336 is an abundant number, since it is smaller than the sum of its proper divisors (383691348507).

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

194343432336 is an equidigital number, since it uses as much as digits as its factorization.

194343432336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370 (or 2183 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 45.

The spelling of 194343432336 in words is "one hundred ninety-four billion, three hundred forty-three million, four hundred thirty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 408 578 612 816 867 1156 1224 1734 2161 2312 2448 2601 3468 4322 4624 5202 6483 6936 8644 10404 12966 13872 17288 19449 20808 25932 34576 36737 38898 41616 51864 73474 77796 103728 110211 146948 155592 220422 293896 311184 330633 440844 587792 624529 661266 881688 1249058 1322532 1763376 1873587 2498116 2645064 3747174 4669921 4996232 5290128 5620761 7494348 9339842 9992464 11241522 14009763 14988696 18679684 22483044 28019526 29977392 37359368 42029289 44966088 56039052 74718736 79388657 84058578 89932176 112078104 158777314 168117156 224156208 238165971 317554628 336234312 476331942 635109256 672468624 714497913 952663884 1270218512 1349607169 1428995826 1905327768 2699214338 2857991652 3810655536 4048821507 5398428676 5715983304 8097643014 10796857352 11431966608 12146464521 16195286028 21593714704 24292929042 32390572056 48585858084 64781144112 97171716168 194343432336