Search a number
-
+
45025125453 = 3371183311839
BaseRepresentation
bin101001111011101101…
…001110010001001101
311022012212201100201000
4221323231032101031
51214202413003303
632403444410513
73152523152220
oct517355162115
9138185640630
1045025125453
1118105567190
1288869a6a39
13432719a489
142271b2d5b7
151287c52da3
hexa7bb4e44d

45025125453 has 128 divisors (see below), whose sum is σ = 84536524800. Its totient is φ = 23006116800.

The previous prime is 45025125449. The next prime is 45025125479. The reversal of 45025125453 is 35452152054.

45025125453 is a `hidden beast` number, since 4 + 502 + 51 + 2 + 54 + 53 = 666.

It is not a de Polignac number, because 45025125453 - 22 = 45025125449 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45025125443) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53664808 + ... + 53665646.

It is an arithmetic number, because the mean of its divisors is an integer number (660441600).

Almost surely, 245025125453 is an apocalyptic number.

It is an amenable number.

45025125453 is a deficient number, since it is larger than the sum of its proper divisors (39511399347).

45025125453 is a wasteful number, since it uses less digits than its factorization.

45025125453 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 45025125453 in words is "forty-five billion, twenty-five million, one hundred twenty-five thousand, four hundred fifty-three".

Divisors: 1 3 7 9 11 21 27 33 63 77 83 99 189 231 249 297 311 581 693 747 839 913 933 1743 2079 2177 2241 2517 2739 2799 3421 5229 5873 6391 6531 7551 8217 8397 9229 10263 15687 17619 19173 19593 22653 23947 24651 25813 27687 30789 52857 57519 58779 64603 69637 71841 77439 83061 92367 158571 172557 180691 193809 208911 215523 232317 249183 260929 283943 487459 542073 581427 626733 646569 696951 766007 782787 851829 1462377 1626219 1744281 1826503 1880199 1987601 2298021 2348361 2555487 2870219 4387131 4878657 5362049 5479509 5962803 6894063 7045083 7666461 8610657 13161393 16086147 16438527 17888409 20091533 20682189 21657107 25831971 48258441 49315581 53665227 60274599 64971321 77495913 144775323 151599749 180823797 194913963 238228177 454799247 542471391 584741889 714684531 1364397741 1667597239 2144053593 4093193223 5002791717 6432160779 15008375151 45025125453