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104993591222583 = 32743127305175781
BaseRepresentation
bin10111110111110110111001…
…101101010110000100110111
3111202202021210220012000211100
4113313312321231112010313
5102230203333323110313
61011145220120541143
731054352032166220
oct2767667155260467
9452667726160740
10104993591222583
11304aa594082378
12b9385653217b3
134677b1254890b
141bcda0737c247
15c211ce55e173
hex5f7db9b56137

104993591222583 has 48 divisors (see below), whose sum is σ = 178750000439296. Its totient is φ = 58139648199360.

The previous prime is 104993591222537. The next prime is 104993591222587. The reversal of 104993591222583 is 385222195399401.

104993591222583 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 9 + 35 + 9 + 12 + 2 + 2 + 583 = 666.

It is not a de Polignac number, because 104993591222583 - 28 = 104993591222327 is a prime.

It is a super-2 number, since 2×1049935912225832 (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 self number, because there is not a number n which added to its sum of digits gives 104993591222583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104993591222587) 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, 152243848 + ... + 152931933.

Almost surely, 2104993591222583 is an apocalyptic number.

104993591222583 is a deficient number, since it is larger than the sum of its proper divisors (73756409216713).

104993591222583 is a wasteful number, since it uses less digits than its factorization.

104993591222583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305175964 (or 305175961 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 104993591222583 in words is "one hundred four trillion, nine hundred ninety-three billion, five hundred ninety-one million, two hundred twenty-two thousand, five hundred eighty-three".

Divisors: 1 3 7 9 21 43 63 127 129 301 381 387 889 903 1143 2667 2709 5461 8001 16383 38227 49149 114681 344043 305175781 915527343 2136230467 2746582029 6408691401 13122558583 19226074203 38757324187 39367675749 91857910081 116271972561 118103027247 271301269309 275573730243 348815917683 813903807927 826721190729 1666564940041 2441711423781 4999694820123 11665954580287 14999084460369 34997863740861 104993591222583