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8328001330077 = 31113174997573023
BaseRepresentation
bin111100100110000001110…
…0011111001101110011101
31002111011000201202101021120
41321030003203321232131
52042421221320030302
625413455254521153
71516451431215462
oct171140343715635
932434021671246
108328001330077
112720981705240
12b260329661b9
134854339b8020
1420b1125d9669
15e696ca4e9bc
hex793038f9b9d

8328001330077 has 128 divisors (see below), whose sum is σ = 13863177216000. Its totient is φ = 4368947466240.

The previous prime is 8328001330069. The next prime is 8328001330079. The reversal of 8328001330077 is 7700331008238.

It is not a de Polignac number, because 8328001330077 - 23 = 8328001330069 is a prime.

It is a super-2 number, since 2×83280013300772 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8328001330079) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2754878188 + ... + 2754881210.

It is an arithmetic number, because the mean of its divisors is an integer number (108306072000).

Almost surely, 28328001330077 is an apocalyptic number.

It is an amenable number.

8328001330077 is a deficient number, since it is larger than the sum of its proper divisors (5535175885923).

8328001330077 is a wasteful number, since it uses less digits than its factorization.

8328001330077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4323.

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 8328001330077 in words is "eight trillion, three hundred twenty-eight billion, one million, three hundred thirty thousand, seventy-seven".

Divisors: 1 3 11 13 17 33 39 51 143 187 221 429 499 561 663 757 1497 2271 2431 3023 5489 6487 7293 8327 8483 9069 9841 12869 16467 19461 24981 25449 29523 33253 38607 39299 51391 71357 93313 99759 108251 110279 117897 141559 154173 167297 214071 279939 324753 330837 377743 424677 432289 501891 565301 668083 1133229 1213069 1296867 1508477 1695903 1840267 2004249 2288411 3639207 4155173 4525431 4910659 5520801 6421631 6865233 7348913 12465519 14731977 16593247 19264893 19610201 22046739 25172521 25644109 29749343 38902987 49779741 54017249 58830603 70637941 75517563 76932327 83481203 89248029 116708961 162051747 211913823 215712211 250443609 282085199 327242773 333373417 427932857 505738831 647136633 846255597 918293233 981728319 1000120251 1141917089 1283798571 1517216493 2754879699 3425751267 3667107587 5563127141 11001322761 12561087979 14844922157 16689381423 19412590513 37683263937 44534766471 58237771539 163294143727 213538495643 252363676669 489882431181 640615486929 757091030007 2776000443359 8328001330077