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59809104481 = 76232312
BaseRepresentation
bin110111101100111001…
…101000001001100001
312201101012101022022211
4313230321220021201
51434442112320411
643250444402121
74215061000000
oct675471501141
9181335338284
1059809104481
1123401753475
12b711b46341
13584203cc69
142c753a0c37
151850ae6221
hexdece68261

59809104481 has 63 divisors (see below), whose sum is σ = 75371799153. Its totient is φ = 47454228360.

The previous prime is 59809104479. The next prime is 59809104499. The reversal of 59809104481 is 18440190895.

The square root of 59809104481 is 244559.

It is a perfect power (a square), and thus also a powerful number.

59809104481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 59809104481 - 21 = 59809104479 is a prime.

It is a super-2 number, since 2×598091044812 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (59809104431) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1929325936 + ... + 1929325966.

Almost surely, 259809104481 is an apocalyptic number.

59809104481 is the 244559-th square number.

59809104481 is the 122280-th centered octagonal number.

It is an amenable number.

59809104481 is a deficient number, since it is larger than the sum of its proper divisors (15562694672).

59809104481 is an frugal number, since it uses more digits than its factorization.

59809104481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 49.

Multiplying 59809104481 by its sum of digits (49), we get a square (2930646119569 = 17119132).

59809104481 divided by its sum of digits (49) gives a square (1220593969 = 349372).

The spelling of 59809104481 in words is "fifty-nine billion, eight hundred nine million, one hundred four thousand, four hundred eighty-one".

Divisors: 1 7 23 31 49 161 217 343 529 713 961 1127 1519 2401 3703 4991 6727 7889 10633 16399 16807 22103 25921 34937 47089 55223 74431 114793 117649 154721 181447 244559 329623 386561 508369 521017 803551 1083047 1270129 1711913 2307361 2705927 3558583 3647119 5624857 7581329 8890903 11983391 16151527 24910081 39373999 53069303 62236321 83883737 113060689 174370567 275617993 371485121 1220593969 1929325951 2600395847 8544157783 59809104481