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424252111095 = 325174327147591
BaseRepresentation
bin1100010110001110110…
…01010111100011110111
31111120001212012021002200
412023013121113203313
523422332020023340
6522522043035543
742436235305161
oct6130731274367
91446055167080
10424252111095
11153a1929041a
126a28120bbb3
1331011c38c37
14167690a7931
15b080ad9330
hex62c76578f7

424252111095 has 96 divisors (see below), whose sum is σ = 799691802624. Its totient is φ = 207233510400.

The previous prime is 424252111091. The next prime is 424252111097. The reversal of 424252111095 is 590111252424.

424252111095 is a `hidden beast` number, since 4 + 2 + 42 + 521 + 1 + 1 + 0 + 95 = 666.

It is not a de Polignac number, because 424252111095 - 22 = 424252111091 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424252111091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8890750 + ... + 8938340.

It is an arithmetic number, because the mean of its divisors is an integer number (8330122944).

Almost surely, 2424252111095 is an apocalyptic number.

424252111095 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

424252111095 is a deficient number, since it is larger than the sum of its proper divisors (375439691529).

424252111095 is a wasteful number, since it uses less digits than its factorization.

424252111095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47933 (or 47930 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 424252111095 in words is "four hundred twenty-four billion, two hundred fifty-two million, one hundred eleven thousand, ninety-five".

Divisors: 1 3 5 9 15 17 43 45 51 85 129 153 215 255 271 387 645 731 765 813 1355 1935 2193 2439 3655 4065 4607 6579 10965 11653 12195 13821 23035 32895 34959 41463 47591 58265 69105 104877 142773 174795 198101 207315 237955 428319 524385 594303 713865 809047 990505 1782909 2046413 2141595 2427141 2971515 4045235 6139239 7281423 8914545 10232065 12135705 12897161 18417717 30696195 34789021 36407115 38691483 64485805 92088585 104367063 116074449 173945105 193457415 219251737 313101189 521835315 554577923 580372245 657755211 1096258685 1565505945 1663733769 1973265633 2772889615 3288776055 4991201307 8318668845 9427824691 9866328165 24956006535 28283474073 47139123455 84850422219 141417370365 424252111095