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185755145135868 = 2232711226972952427
BaseRepresentation
bin101010001111000101111101…
…011100001110011011111100
3220100201000111110002020020100
4222033011331130032123330
5143321403014123321433
61455022422520521100
754061236442632330
oct5217057534163374
9810630443066210
10185755145135868
1154207350891220
1218a00712320190
137c858341c2859
1433c28502257c0
151671db6debb13
hexa8f17d70e6fc

185755145135868 has 144 divisors (see below), whose sum is σ = 585436145059584. Its totient is φ = 48245947557120.

The previous prime is 185755145135867. The next prime is 185755145135939. The reversal of 185755145135868 is 868531541557581.

185755145135868 is a `hidden beast` number, since 1 + 8 + 5 + 7 + 5 + 51 + 4 + 513 + 58 + 6 + 8 = 666.

It is a super-2 number, since 2×1857551451358682 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 185755145135796 and 185755145135805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185755145135867) 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, 61439871 + ... + 64392297.

It is an arithmetic number, because the mean of its divisors is an integer number (4065528785136).

Almost surely, 2185755145135868 is an apocalyptic number.

185755145135868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

185755145135868 is an abundant number, since it is smaller than the sum of its proper divisors (399680999923716).

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

185755145135868 is a wasteful number, since it uses less digits than its factorization.

185755145135868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975152 (or 2975147 counting only the distinct ones).

The product of its digits is 806400000, while the sum is 72.

The spelling of 185755145135868 in words is "one hundred eighty-five trillion, seven hundred fifty-five billion, one hundred forty-five million, one hundred thirty-five thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 22697 45394 68091 90788 136182 158879 204273 249667 272364 317758 408546 476637 499334 635516 749001 817092 953274 998668 1429911 1498002 1747669 1906548 2247003 2859822 2952427 2996004 3495338 4494006 5243007 5719644 5904854 6990676 8857281 8988012 10486014 11809708 15729021 17714562 20666989 20972028 26571843 31458042 32476697 35429124 41333978 53143686 62000967 62916084 64953394 82667956 97430091 106287372 124001934 129906788 186002901 194860182 227336879 248003868 292290273 372005802 389720364 454673758 584580546 682010637 744011604 909347516 1169161092 1364021274 2046031911 2728042548 4092063822 8184127644 67011235619 134022471238 201033706857 268044942476 402067413714 469078649333 603101120571 737123591809 804134827428 938157298666 1206202241142 1407235947999 1474247183618 1876314597332 2211370775427 2412404482284 2814471895998 2948494367236 4221707843997 4422741550854 5159865142663 5628943791996 6634112326281 8443415687994 8845483101708 10319730285326 13268224652562 15479595427989 16886831375988 20639460570652 26536449305124 30959190855978 46438786283967 61918381711956 92877572567934 185755145135868