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382979302173 = 381331632
BaseRepresentation
bin1011001001010110101…
…10000110001100011101
31100121112111010100000000
411210223112012030131
522233320200132143
6451534355324513
736445404233166
oct5445326061435
91317474110000
10382979302173
11138469917186
1262282bb0739
132a16527c000
141477185676d
159e674d3bd3
hex592b58631d

382979302173 has 108 divisors (see below), whose sum is σ = 626129098140. Its totient is φ = 234233683632.

The previous prime is 382979302159. The next prime is 382979302219. The reversal of 382979302173 is 371203979283.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

382979302173 is a `hidden beast` number, since 3 + 82 + 97 + 9 + 302 + 173 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14119855929 + 368859446244 = 118827^2 + 607338^2 .

It is not a de Polignac number, because 382979302173 - 224 = 382962524957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382979302373) 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 107 ways as a sum of consecutive naturals, for example, 2349566190 + ... + 2349566352.

Almost surely, 2382979302173 is an apocalyptic number.

It is an amenable number.

382979302173 is a deficient number, since it is larger than the sum of its proper divisors (243149795967).

382979302173 is an frugal number, since it uses more digits than its factorization.

382979302173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 382979302173 in words is "three hundred eighty-two billion, nine hundred seventy-nine million, three hundred two thousand, one hundred seventy-three".

Divisors: 1 3 9 13 27 39 81 117 163 169 243 351 489 507 729 1053 1467 1521 2119 2187 2197 3159 4401 4563 6357 6561 6591 9477 13203 13689 19071 19773 26569 27547 28431 39609 41067 57213 59319 79707 82641 85293 118827 123201 171639 177957 239121 247923 345397 356481 358111 369603 514917 533871 717363 743769 1036191 1069443 1074333 1108809 1544751 1601613 2152089 2231307 3108573 3222999 4490161 4634253 4804839 6456267 6693921 9325719 9668997 13470483 13902759 14414517 19368801 20081763 27977157 29006991 40411449 58106403 58372093 60245289 83931471 87020973 121234347 174319209 175116279 180735867 251794413 261062919 363703041 525348837 755383239 783188757 1091109123 1576046511 2266149717 2349566271 3273327369 4728139533 9819982107 14184418599 29459946321 42553255797 127659767391 382979302173