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492211189350 = 23552347116747
BaseRepresentation
bin1110010100110100001…
…00101011011001100110
31202001111001012010200000
413022122010223121212
531031022031024400
61014041350002130
750363311035516
oct7123204533146
91661431163600
10492211189350
1117a822425801
127b488646346
13375525abc8a
1419b74a11846
15cc0be52600
hex729a12b666

492211189350 has 144 divisors (see below), whose sum is σ = 1375349347008. Its totient is φ = 130876935840.

The previous prime is 492211189271. The next prime is 492211189361. The reversal of 492211189350 is 53981112294.

492211189350 is a `hidden beast` number, since 4 + 9 + 2 + 211 + 1 + 89 + 350 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 492211189296 and 492211189305.

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 71 ways as a sum of consecutive naturals, for example, 4157677 + ... + 4274423.

It is an arithmetic number, because the mean of its divisors is an integer number (9551037132).

Almost surely, 2492211189350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492211189350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687674673504).

492211189350 is an abundant number, since it is smaller than the sum of its proper divisors (883138157658).

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

492211189350 is a wasteful number, since it uses less digits than its factorization.

492211189350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117121 (or 117104 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 492211189350 in words is "four hundred ninety-two billion, two hundred eleven million, one hundred eighty-nine thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 347 405 450 486 675 694 810 1041 1215 1350 1735 2025 2082 2430 3123 3470 4050 5205 6075 6246 8675 9369 10410 12150 15615 17350 18738 26025 28107 31230 46845 52050 56214 78075 84321 93690 116747 140535 156150 168642 233494 234225 281070 350241 421605 468450 583735 700482 702675 843210 1050723 1167470 1405350 1751205 2101446 2108025 2918675 3152169 3502410 4216050 5253615 5837350 6304338 8756025 9456507 10507230 15760845 17512050 18913014 26268075 28369521 31521690 40511209 47282535 52536150 56739042 78804225 81022418 94565070 121533627 141847605 157608450 202556045 236412675 243067254 283695210 364600881 405112090 472825350 607668135 709238025 729201762 1012780225 1093802643 1215336270 1418476050 1823004405 2025560450 2187605286 3038340675 3281407929 3646008810 5469013215 6076681350 6562815858 9115022025 9844223787 10938026430 16407039645 18230044050 19688447574 27345066075 32814079290 49221118935 54690132150 82035198225 98442237870 164070396450 246105594675 492211189350