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45598050369 = 32172532792
BaseRepresentation
bin101010011101110110…
…110000100001000001
311100200210202221221100
4222131312300201001
51221341100102434
632540352245013
73202651014234
oct523566604101
9140623687840
1045598050369
1118379a02153
128a06840769
1343b8aa64c1
1422c7c6941b
1512bd1c3699
hexa9ddb0841

45598050369 has 81 divisors (see below), whose sum is σ = 72225218793. Its totient is φ = 27715394304.

The previous prime is 45598050361. The next prime is 45598050373. The reversal of 45598050369 is 96305089554.

It is a happy number.

The square root of 45598050369 is 213537.

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

45598050369 is a `hidden beast` number, since 4 + 5 + 59 + 80 + 503 + 6 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11424830769 + 34173219600 = 106887^2 + 184860^2 .

It is not a de Polignac number, because 45598050369 - 23 = 45598050361 is a prime.

It is a super-2 number, since 2×455980503692 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45598050361) 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, 577190472 + ... + 577190550.

Almost surely, 245598050369 is an apocalyptic number.

45598050369 is the 213537-th square number.

45598050369 is the 106769-th centered octagonal number.

It is an amenable number.

45598050369 is a deficient number, since it is larger than the sum of its proper divisors (26627168424).

45598050369 is an equidigital number, since it uses as much as digits as its factorization.

45598050369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 45598050369 in words is "forty-five billion, five hundred ninety-eight million, fifty thousand, three hundred sixty-nine".

Divisors: 1 3 9 17 51 53 79 153 159 237 289 477 711 867 901 1343 2601 2703 2809 4029 4187 6241 8109 8427 12087 12561 15317 18723 22831 25281 37683 45951 47753 56169 68493 71179 106097 137853 143259 205479 213537 221911 318291 330773 429777 640611 665733 811801 954873 992319 1210043 1803649 1997199 2435403 2976957 3630129 3772487 5410947 5623141 7306209 10890387 11317461 16232841 16869423 17530969 33952383 50608269 52592907 64132279 95593397 157778721 192396837 286780191 298026473 577190511 860340573 894079419 2682238257 5066450041 15199350123 45598050369