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75421219302 = 2321121319140197
BaseRepresentation
bin100011000111101110…
…1000111100111100110
321012200020022220200200
41012033131013213212
52213430313004202
654351550251330
75310002533512
oct1061735074746
9235606286620
1075421219302
1129a93348400
121274a4b6b46
13715c636c20
143916a03142
151e6651ce1c
hex118f7479e6

75421219302 has 144 divisors (see below), whose sum is σ = 203617967280. Its totient is φ = 19986341760.

The previous prime is 75421219301. The next prime is 75421219319. The reversal of 75421219302 is 20391212457.

75421219302 is a `hidden beast` number, since 7 + 542 + 1 + 21 + 93 + 0 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75421219301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 467868 + ... + 608064.

Almost surely, 275421219302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75421219302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101808983640).

75421219302 is an abundant number, since it is smaller than the sum of its proper divisors (128196747978).

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

75421219302 is a wasteful number, since it uses less digits than its factorization.

75421219302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140259 (or 140245 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 75421219302 in words is "seventy-five billion, four hundred twenty-one million, two hundred nineteen thousand, three hundred two".

Divisors: 1 2 3 6 9 11 13 18 19 22 26 33 38 39 57 66 78 99 114 117 121 143 171 198 209 234 242 247 286 342 363 418 429 494 627 726 741 858 1089 1254 1287 1482 1573 1881 2178 2223 2299 2574 2717 3146 3762 4446 4598 4719 5434 6897 8151 9438 13794 14157 16302 20691 24453 28314 29887 41382 48906 59774 89661 140197 179322 268983 280394 420591 537966 841182 1261773 1542167 1822561 2523546 2663743 3084334 3645122 4626501 5327486 5467683 7991229 9253002 10935366 13879503 15982458 16403049 16963837 20048171 23973687 27759006 29301173 32806098 33927674 34628659 40096342 47947374 50891511 58602346 60144513 69257318 87903519 101783022 103885977 120289026 152674533 175807038 180433539 207771954 220529881 263710557 305349066 311657931 322312903 360867078 380915249 441059762 527421114 623315862 644625806 661589643 761830498 966938709 1142745747 1323179286 1933877418 1984768929 2285491494 2900816127 3428237241 3969537858 4190067739 5801632254 6856474482 8380135478 12570203217 25140406434 37710609651 75421219302