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45713433249 = 32114192312
BaseRepresentation
bin101010100100101110…
…111010001010100001
311100222211220000111100
4222210232322022201
51222110114330444
633000033305013
73205551525411
oct524456721241
9140884800440
1045713433249
1118429050000
128a39405169
1344069749b3
1422d9302641
1512c83b5e69
hexaa4bba2a1

45713433249 has 135 divisors (see below), whose sum is σ = 79209688545. Its totient is φ = 25400271600.

The previous prime is 45713433247. The next prime is 45713433263. The reversal of 45713433249 is 94233431754.

The square root of 45713433249 is 213807.

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

45713433249 is a `hidden beast` number, since 4 + 571 + 3 + 4 + 3 + 32 + 49 = 666.

It is not a de Polignac number, because 45713433249 - 21 = 45713433247 is a prime.

Its product of digits (1088640) is a multiple of the sum of its prime divisors (64).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (45713433247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1474626864 + ... + 1474626894.

Almost surely, 245713433249 is an apocalyptic number.

45713433249 is the 213807-th square number.

45713433249 is the 106904-th centered octagonal number.

It is an amenable number.

45713433249 is a deficient number, since it is larger than the sum of its proper divisors (33496255296).

45713433249 is an equidigital number, since it uses as much as digits as its factorization.

45713433249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 64 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The spelling of 45713433249 in words is "forty-five billion, seven hundred thirteen million, four hundred thirty-three thousand, two hundred forty-nine".

Divisors: 1 3 9 11 19 31 33 57 93 99 121 171 209 279 341 361 363 589 627 961 1023 1083 1089 1331 1767 1881 2299 2883 3069 3249 3751 3971 3993 5301 6479 6897 8649 10571 11191 11253 11913 11979 14641 18259 19437 20691 25289 31713 33573 33759 35739 41261 43681 43923 54777 58311 71269 75867 95139 100719 116281 123101 123783 131043 131769 164331 200849 213807 227601 278179 346921 348843 369303 371349 393129 453871 480491 602547 641421 783959 834537 1040763 1046529 1107909 1279091 1354111 1361613 1441473 1807641 2209339 2351877 2503611 3122289 3816131 3837273 4062333 4084839 4324419 5285401 6628017 7055631 8623549 11448393 11511819 12186999 14070001 14895221 15856203 19884051 24302729 25870647 34345179 41977441 42210003 44685663 47568609 72908187 77611941 125932323 126630009 134056989 163847431 218724561 267330019 377796969 461751851 491542293 801990057 1385255553 1474626879 2405970171 4155766659 5079270361 15237811083 45713433249