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65514343334 = 21121731273227
BaseRepresentation
bin111101000000111101…
…011000101110100110
320021002210210110201112
4331000331120232212
52033133132441314
650032531425022
74506335505266
oct750075305646
9207083713645
1065514343334
112586a158900
1210844755172
13624102363b
143256da17a6
151a8690743e
hexf40f58ba6

65514343334 has 144 divisors (see below), whose sum is σ = 120326481072. Its totient is φ = 26634009600.

The previous prime is 65514343309. The next prime is 65514343343. The reversal of 65514343334 is 43334341556.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 65514343291 and 65514343300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 288609329 + ... + 288609555.

It is an arithmetic number, because the mean of its divisors is an integer number (835600563).

Almost surely, 265514343334 is an apocalyptic number.

65514343334 is a deficient number, since it is larger than the sum of its proper divisors (54812137738).

65514343334 is a wasteful number, since it uses less digits than its factorization.

65514343334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 361 counting only the distinct ones).

The product of its digits is 777600, while the sum is 41.

The spelling of 65514343334 in words is "sixty-five billion, five hundred fourteen million, three hundred forty-three thousand, three hundred thirty-four".

Divisors: 1 2 11 17 22 31 34 62 73 121 146 187 227 242 341 374 454 527 682 803 961 1054 1241 1606 1922 2057 2263 2482 2497 3751 3859 4114 4526 4994 5797 7037 7502 7718 8833 10571 11594 13651 14074 16337 16571 17666 21142 24893 27302 27467 32674 33142 38471 42449 49786 54934 63767 70153 76942 77407 84898 116281 119629 127534 140306 150161 154814 179707 182281 218147 232562 239258 273823 281707 300322 359414 364562 423181 436294 466939 513701 547646 563414 771683 846362 851477 933878 1027402 1192601 1315919 1543366 1702954 1976777 2005091 2385202 2399617 2631838 3098777 3708499 3953554 4010182 4654991 4799234 5650711 6197554 7416998 8488513 8732917 9309982 11301422 13118611 14475109 15924731 16977026 17465834 26237222 26395787 28950218 31849462 34086547 40793489 52791574 62157821 68173094 81586978 96062087 124315642 144304721 175172041 192124174 270720427 288609442 350344082 448728379 541440854 897456758 1056682957 1926892451 2113365914 2977924697 3853784902 5955849394 32757171667 65514343334