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12713858530758 = 23271124717742859
BaseRepresentation
bin1011100100000010110100…
…0001010111110111000110
31200000102200122211210210100
42321000231001113313012
53131300440240441013
643012355503504530
72451355160264550
oct271005501276706
950012618753710
1012713858530758
114061a0a766800
1215140455b8146
13712bb1065688
1431d4d56924d0
15170ab39b4473
hexb902d057dc6

12713858530758 has 144 divisors (see below), whose sum is σ = 35340370490880. Its totient is φ = 3232039013280.

The previous prime is 12713858530691. The next prime is 12713858530777. The reversal of 12713858530758 is 85703585831721.

12713858530758 is a `hidden beast` number, since 1 + 2 + 7 + 13 + 8 + 585 + 30 + 7 + 5 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12713858530695 and 12713858530704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8154868 + ... + 9587991.

It is an arithmetic number, because the mean of its divisors is an integer number (245419239520).

Almost surely, 212713858530758 is an apocalyptic number.

12713858530758 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12713858530758 is an abundant number, since it is smaller than the sum of its proper divisors (22626511960122).

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

12713858530758 is a wasteful number, since it uses less digits than its factorization.

12713858530758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17742943 (or 17742929 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 63.

The spelling of 12713858530758 in words is "twelve trillion, seven hundred thirteen billion, eight hundred fifty-eight million, five hundred thirty thousand, seven hundred fifty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 47 63 66 77 94 99 121 126 141 154 198 231 242 282 329 363 423 462 517 658 693 726 846 847 987 1034 1089 1386 1551 1694 1974 2178 2541 2961 3102 3619 4653 5082 5687 5922 7238 7623 9306 10857 11374 15246 17061 21714 32571 34122 39809 51183 65142 79618 102366 119427 238854 358281 716562 17742859 35485718 53228577 106457154 124200013 159685731 195171449 248400026 319371462 372600039 390342898 585514347 745200078 833914373 1117800117 1171028694 1366200143 1667828746 1756543041 2146885939 2235600234 2501743119 2732400286 3513086082 4098600429 4293771878 5003486238 5837400611 6440657817 7505229357 8197200858 9173058103 11674801222 12295801287 12881315634 15010458714 15028201573 17512201833 18346116206 19321973451 24591602574 27519174309 30056403146 35024403666 38643946902 45084604719 52536605499 55038348618 64211406721 82557522927 90169209438 100903639133 105073210998 128422813442 135253814157 165115045854 192634220163 201807278266 270507628314 302710917399 385268440326 577902660489 605421834798 706325473931 908132752197 1155805320978 1412650947862 1816265504394 2118976421793 4237952843586 6356929265379 12713858530758