Search a number
-
+
148853664313599 = 37229257163782997
BaseRepresentation
bin100001110110000110110001…
…110010001111000011111111
3201112001021022210122021100110
4201312012301302033003333
5124002304301031013344
61244330232424001103
743232215365166200
oct4166066162170377
9645037283567313
10148853664313599
114347a536997273
1214840a07000193
136509ac022b52b
1428a87ad1535a7
15123205ab513b9
hex8761b1c8f0ff

148853664313599 has 96 divisors (see below), whose sum is σ = 239914961657280. Its totient is φ = 81755644035072.

The previous prime is 148853664313597. The next prime is 148853664313603. The reversal of 148853664313599 is 995313466358841.

It is a Cunningham number, because it is equal to 122005602-1.

It is not a de Polignac number, because 148853664313599 - 21 = 148853664313597 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 148853664313599.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148853664313597) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1793440969 + ... + 1793523965.

It is an arithmetic number, because the mean of its divisors is an integer number (2499114183930).

Almost surely, 2148853664313599 is an apocalyptic number.

148853664313599 is a deficient number, since it is larger than the sum of its proper divisors (91061297343681).

148853664313599 is a wasteful number, since it uses less digits than its factorization.

148853664313599 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84937 (or 84930 counting only the distinct ones).

The product of its digits is 2015539200, while the sum is 75.

The spelling of 148853664313599 in words is "one hundred forty-eight trillion, eight hundred fifty-three billion, six hundred sixty-four million, three hundred thirteen thousand, five hundred ninety-nine".

Divisors: 1 3 7 21 29 49 87 147 203 257 609 771 1421 1637 1799 4263 4911 5397 7453 11459 12593 22359 34377 37779 47473 52171 80213 82997 142419 156513 240639 248991 332311 365197 420709 580979 996933 1095591 1262127 1742937 2326177 2406913 2944963 4066853 6978531 7220739 8834889 12200559 12200561 16848391 20614741 21330229 36601683 50545173 61844223 63990687 85403927 117938737 135866089 149311603 256211781 353816211 407598267 447934809 597827489 618576641 951062623 1045181221 1793482467 1855729923 2853187869 3135543663 3940116581 4330036487 6657438361 11820349743 12990109461 19972315083 27580816067 30310255409 34917584873 82742448201 90930766227 104752754619 193065712469 244423094111 579197137407 733269282333 1012609961317 1710961658777 3037829883951 5132884976331 7088269729219 21264809187657 49617888104533 148853664313599