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5453045460 = 223251710916349
BaseRepresentation
bin1010001010000011…
…01101111011010100
3112002000212102002200
411011001231323110
542131434423320
62301033404500
7252063056502
oct50501557324
915060772080
105453045460
112349113845
121082269730
1368b983825
1439a313672
1521dae7290
hex14506ded4

5453045460 has 144 divisors (see below), whose sum is σ = 17675658000. Its totient is φ = 1355968512.

The previous prime is 5453045399. The next prime is 5453045461. The reversal of 5453045460 is 645403545.

5453045460 is a `hidden beast` number, since 545 + 3 + 0 + 4 + 54 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 404496 + 5452640964 = 636^2 + 73842^2 .

It is a super-2 number, since 2×54530454602 = 59471409577653223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5453045461) 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, 325366 + ... + 341714.

It is an arithmetic number, because the mean of its divisors is an integer number (122747625).

Almost surely, 25453045460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5453045460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8837829000).

5453045460 is an abundant number, since it is smaller than the sum of its proper divisors (12222612540).

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

5453045460 is a wasteful number, since it uses less digits than its factorization.

5453045460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16490 (or 16485 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 5453045460 is about 73844.7388782708. The cubic root of 5453045460 is about 1760.1365962337.

The spelling of 5453045460 in words is "five billion, four hundred fifty-three million, forty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 109 153 170 180 204 218 255 306 327 340 436 510 545 612 654 765 981 1020 1090 1308 1530 1635 1853 1962 2180 3060 3270 3706 3924 4905 5559 6540 7412 9265 9810 11118 16349 16677 18530 19620 22236 27795 32698 33354 37060 49047 55590 65396 66708 81745 83385 98094 111180 147141 163490 166770 196188 245235 277933 294282 326980 333540 490470 555866 588564 735705 833799 980940 1111732 1389665 1471410 1667598 1782041 2501397 2779330 2942820 3335196 3564082 4168995 5002794 5346123 5558660 7128164 8337990 8910205 10005588 10692246 12506985 16038369 16675980 17820410 21384492 25013970 26730615 30294697 32076738 35640820 50027940 53461230 60589394 64153476 80191845 90884091 106922460 121178788 151473485 160383690 181768182 272652273 302946970 320767380 363536364 454420455 545304546 605893940 908840910 1090609092 1363261365 1817681820 2726522730 5453045460