Search a number
-
+
14545512050500 = 2253509160935521
BaseRepresentation
bin1101001110101010010000…
…0101000010111101000100
31220111112111202002101022001
43103222210011002331010
53401303202041104000
650534041015315044
73030610230312004
oct323524405027504
956445452071261
1014545512050500
1146a8798396262
12176b02667ba84
138168360c6c02
14384013d32004
151a35673b846a
hexd3aa4142f44

14545512050500 has 96 divisors (see below), whose sum is σ = 31850488706400. Its totient is φ = 5803001856000.

The previous prime is 14545512050411. The next prime is 14545512050513. The reversal of 14545512050500 is 505021554541.

It can be written as a sum of positive squares in 16 ways, for example, as 1359332137216 + 13186179913284 = 1165904^2 + 3631278^2 .

It is a super-2 number, since 2×145455120505002 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14545512050500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409472740 + ... + 409508260.

It is an arithmetic number, because the mean of its divisors is an integer number (331775924025).

Almost surely, 214545512050500 is an apocalyptic number.

14545512050500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14545512050500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15925244353200).

14545512050500 is an abundant number, since it is smaller than the sum of its proper divisors (17304976655900).

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

14545512050500 is a wasteful number, since it uses less digits than its factorization.

14545512050500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37658 (or 37646 counting only the distinct ones).

The product of its (nonzero) digits is 100000, while the sum is 37.

The spelling of 14545512050500 in words is "fourteen trillion, five hundred forty-five billion, five hundred twelve million, fifty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 509 1018 1609 2036 2545 3218 5090 6436 8045 10180 12725 16090 25450 32180 35521 40225 50900 63625 71042 80450 127250 142084 160900 177605 201125 254500 355210 402250 710420 804500 818981 888025 1637962 1776050 3275924 3552100 4094905 4440125 8189810 8880250 16379620 17760500 18080189 20474525 36160378 40949050 57153289 72320756 81898100 90400945 102372625 114306578 180801890 204745250 228613156 285766445 361603780 409490500 452004725 571532890 904009450 1143065780 1428832225 1808018900 2260023625 2857664450 4520047250 5715328900 7144161125 9040094500 14288322250 28576644500 29091024101 58182048202 116364096404 145455120505 290910241010 581820482020 727275602525 1454551205050 2909102410100 3636378012625 7272756025250 14545512050500