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78322533828 = 223711219938723
BaseRepresentation
bin100100011110001100…
…0110000010111000100
321111011102122222000020
41020330120300113010
52240401032040303
655551511415140
75441622360450
oct1107430602704
9244142588006
1078322533828
1130242034a00
121321a0844b0
137502748096
143b1007b660
1520860bba53
hex123c6305c4

78322533828 has 144 divisors (see below), whose sum is σ = 230733081600. Its totient is φ = 20240763840.

The previous prime is 78322533797. The next prime is 78322533829. The reversal of 78322533828 is 82833522387.

It is a super-2 number, since 2×783225338282 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78322533829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2003275 + ... + 2041997.

Almost surely, 278322533828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78322533828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115366540800).

78322533828 is an abundant number, since it is smaller than the sum of its proper divisors (152410547772).

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

78322533828 is a wasteful number, since it uses less digits than its factorization.

78322533828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38958 (or 38945 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The spelling of 78322533828 in words is "seventy-eight billion, three hundred twenty-two million, five hundred thirty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 199 231 242 308 363 398 462 484 597 726 796 847 924 1194 1393 1452 1694 2189 2388 2541 2786 3388 4179 4378 5082 5572 6567 8358 8756 10164 13134 15323 16716 24079 26268 30646 38723 45969 48158 61292 72237 77446 91938 96316 116169 144474 154892 168553 183876 232338 271061 288948 337106 425953 464676 505659 542122 674212 813183 851906 1011318 1084244 1277859 1626366 1703812 2022636 2555718 2981671 3252732 4685483 5111436 5963342 7705877 8945013 9370966 11926684 14056449 15411754 17890026 18741932 23117631 28112898 30823508 32798381 35780052 46235262 53941139 56225796 65596762 84764647 92470524 98395143 107882278 131193524 161823417 169529294 196790286 215764556 254293941 323646834 339058588 393580572 508587882 593352529 647293668 932411117 1017175764 1186705058 1780057587 1864822234 2373410116 2797233351 3560115174 3729644468 5594466702 6526877819 7120230348 11188933404 13053755638 19580633457 26107511276 39161266914 78322533828