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81593145118359 = 347197573855483
BaseRepresentation
bin10010100011010101100010…
…011011100100111010010111
3101200220020011120110102210000
4102203111202123210322113
541143310230122241414
6445311212353302343
723120624125153620
oct2243254233447227
9350806146412700
1081593145118359
1123aa8505321596
12919936b2649b3
13366b27b862274
1416211b4adca47
1596765931bb09
hex4a35626e4e97

81593145118359 has 40 divisors (see below), whose sum is σ = 146629842170240. Its totient is φ = 44170725171024.

The previous prime is 81593145118301. The next prime is 81593145118369. The reversal of 81593145118359 is 95381154139518.

81593145118359 is a `hidden beast` number, since 8 + 1 + 5 + 9 + 31 + 4 + 511 + 83 + 5 + 9 = 666.

It is not a de Polignac number, because 81593145118359 - 212 = 81593145114263 is a prime.

It is a super-2 number, since 2×815931451183592 (a number of 29 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 81593145118296 and 81593145118305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81593145118369) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3786916969 + ... + 3786938514.

It is an arithmetic number, because the mean of its divisors is an integer number (3665746054256).

Almost surely, 281593145118359 is an apocalyptic number.

81593145118359 is a deficient number, since it is larger than the sum of its proper divisors (65036697051881).

81593145118359 is a wasteful number, since it uses less digits than its factorization.

81593145118359 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7573855521 (or 7573855512 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 63.

The spelling of 81593145118359 in words is "eighty-one trillion, five hundred ninety-three billion, one hundred forty-five million, one hundred eighteen thousand, three hundred fifty-nine".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 399 513 567 1197 1539 3591 10773 7573855483 22721566449 53016988381 68164699347 143903254177 159050965143 204494098041 431709762531 477152895429 613482294123 1007322779239 1295129287593 1431458686287 3021968337717 3885387862779 4294376058861 9065905013151 11656163588337 27197715039453 81593145118359