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45066619521 = 32721129192
BaseRepresentation
bin101001111110001011…
…100000101010000001
311022022202210110212100
4221332023200222001
51214244023311041
632411530021013
73153535642200
oct517613405201
9138282713770
1045066619521
1118126a28300
128898877769
134332968091
142277451237
15128b6ec6b6
hexa7e2e0a81

45066619521 has 81 divisors (see below), whose sum is σ = 83324688993. Its totient is φ = 23385756240.

The previous prime is 45066619513. The next prime is 45066619537. The reversal of 45066619521 is 12591666054.

The square root of 45066619521 is 212289.

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

It is not a de Polignac number, because 45066619521 - 23 = 45066619513 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45066619561) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 49038300 + ... + 49039218.

Almost surely, 245066619521 is an apocalyptic number.

45066619521 is the 212289-th square number.

45066619521 is the 106145-th centered octagonal number.

It is an amenable number.

45066619521 is a deficient number, since it is larger than the sum of its proper divisors (38258069472).

45066619521 is an equidigital number, since it uses as much as digits as its factorization.

45066619521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 45066619521 in words is "forty-five billion, sixty-six million, six hundred nineteen thousand, five hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 363 441 539 693 847 919 1089 1617 2541 2757 4851 5929 6433 7623 8271 10109 17787 19299 30327 45031 53361 57897 70763 90981 111199 135093 212289 333597 405279 495341 636867 778393 844561 1000791 1486023 2335179 2533683 4458069 5448751 5911927 7005537 7601049 9290171 16346253 17735781 27870513 41383489 49038759 53207343 65031197 83611539 102191881 124150467 195093591 306575643 372451401 455218379 585280773 715343167 919726929 1365655137 2146029501 4096965411 5007402169 6438088503 15022206507 45066619521