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65093940093 = 37313191931327
BaseRepresentation
bin111100100111111001…
…101011001101111101
320020000111201202220010
4330213321223031331
52031303022040333
645523113013433
74463042235000
oct744771531575
9206014652803
1065093940093
1125673917706
12107479b4279
1361a4bba220
143217209537
151a5ea63563
hexf27e6b37d

65093940093 has 128 divisors (see below), whose sum is σ = 115419136000. Its totient is φ = 32335220736.

The previous prime is 65093940077. The next prime is 65093940101. The reversal of 65093940093 is 39004939056.

It is a happy number.

It is not a de Polignac number, because 65093940093 - 24 = 65093940077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65093940013) 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, 49052796 + ... + 49054122.

It is an arithmetic number, because the mean of its divisors is an integer number (901712000).

Almost surely, 265093940093 is an apocalyptic number.

It is an amenable number.

65093940093 is a deficient number, since it is larger than the sum of its proper divisors (50325195907).

65093940093 is a wasteful number, since it uses less digits than its factorization.

65093940093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 48.

The spelling of 65093940093 in words is "sixty-five billion, ninety-three million, nine hundred forty thousand, ninety-three".

Divisors: 1 3 7 13 19 21 39 49 57 91 133 147 193 247 273 343 399 579 637 741 931 1029 1327 1351 1729 1911 2509 2793 3667 3981 4053 4459 5187 6517 7527 9289 9457 11001 12103 13377 17251 17563 19551 25213 25669 27867 28371 36309 47671 51753 52689 65023 66199 75639 77007 84721 120757 122941 143013 176491 179683 195069 198597 254163 256111 327769 333697 362271 368823 455161 529473 539049 768333 845299 860587 983307 1001091 1235437 1257781 1365483 1792777 2294383 2335879 2535897 2581761 3329443 3706311 3773343 4866109 5378331 5917093 6883149 7007637 8648059 9988329 12549439 14598327 16060681 16351153 17751279 23306101 25944177 34062763 37648317 48182043 49053459 63259417 69918303 87846073 102188289 112424767 163142707 189778251 238439341 263538219 337274301 442815919 489428121 715318023 1141998949 1328447757 1669075387 3099711433 3425996847 5007226161 9299134299 21697980031 65093940093