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2093824441368 = 2333111471759879
BaseRepresentation
bin11110011110000001101…
…010010111110000011000
321102011112020002022101000
4132132001222113300120
5233301123024110433
64241520100225000
7304162631045322
oct36360152276030
97364466068330
102093824441368
11737a93347320
1229996969b160
131225a67ca8ba
14734ad682612
15396e9ea2113
hex1e781a97c18

2093824441368 has 128 divisors (see below), whose sum is σ = 6345459648000. Its totient is φ = 634438546560.

The previous prime is 2093824441367. The next prime is 2093824441393. The reversal of 2093824441368 is 8631444283902.

It is a happy number.

2093824441368 is a `hidden beast` number, since 2 + 0 + 9 + 38 + 244 + 4 + 1 + 368 = 666.

It is a super-2 number, since 2×20938244413682 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2093824441367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34937653 + ... + 34997531.

It is an arithmetic number, because the mean of its divisors is an integer number (49573903500).

Almost surely, 22093824441368 is an apocalyptic number.

It is an amenable number.

2093824441368 is an abundant number, since it is smaller than the sum of its proper divisors (4251635206632).

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

2093824441368 is a wasteful number, since it uses less digits than its factorization.

2093824441368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74622 (or 74612 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 2093824441368 in words is "two trillion, ninety-three billion, eight hundred twenty-four million, four hundred forty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 14717 29434 44151 58868 59879 88302 117736 119758 132453 161887 176604 179637 239516 264906 323774 353208 359274 397359 479032 485661 529812 538911 647548 658669 718548 794718 971322 1059624 1077822 1295096 1317338 1437096 1456983 1589436 1616733 1942644 1976007 2155644 2634676 2913966 3178872 3233466 3885288 3952014 4311288 4370949 5269352 5827932 5928021 6466932 7904028 8741898 11655864 11856042 12933864 15808056 17483796 17784063 23712084 34967592 35568126 47424168 71136252 142272504 881239243 1762478486 2643717729 3524956972 5287435458 7049913944 7931153187 9693631673 10574870916 15862306374 19387263346 21149741832 23793459561 29080895019 31724612748 38774526692 47586919122 58161790038 63449225496 77549053384 87242685057 95173838244 116323580076 174485370114 190347676488 232647160152 261728055171 348970740228 523456110342 697941480456 1046912220684 2093824441368