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4505113431 = 3371323292749
BaseRepresentation
bin1000011001000011…
…01001001101010111
3102121222011110211000
410030201221031113
533211302112211
62023012114343
7216432555330
oct41441511527
912558143730
104505113431
111a02023445
12a589059b3
1356a4770c0
1430a47b287
151b579d656
hex10c869357

4505113431 has 128 divisors (see below), whose sum is σ = 8870400000. Its totient is φ = 2193827328.

The previous prime is 4505113423. The next prime is 4505113469. The reversal of 4505113431 is 1343115054.

It is a happy number.

4505113431 is a `hidden beast` number, since 4 + 505 + 113 + 43 + 1 = 666.

It is not a de Polignac number, because 4505113431 - 23 = 4505113423 is a prime.

It is a super-2 number, since 2×45051134312 = 40592094052353183522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4505113395 and 4505113404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4505111431) 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, 1637445 + ... + 1640193.

It is an arithmetic number, because the mean of its divisors is an integer number (69300000).

Almost surely, 24505113431 is an apocalyptic number.

4505113431 is a deficient number, since it is larger than the sum of its proper divisors (4365286569).

4505113431 is a wasteful number, since it uses less digits than its factorization.

4505113431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 4505113431 is about 67120.1417683247. The cubic root of 4505113431 is about 1651.5887276297.

Adding to 4505113431 its reverse (1343115054), we get a palindrome (5848228485).

The spelling of 4505113431 in words is "four billion, five hundred five million, one hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 7 9 13 21 23 27 29 39 63 69 87 91 117 161 189 203 207 261 273 299 351 377 483 609 621 667 783 819 897 1131 1449 1827 2001 2093 2457 2639 2691 2749 3393 4347 4669 5481 6003 6279 7917 8073 8247 8671 10179 14007 18009 18837 19243 23751 24741 26013 35737 42021 56511 57729 60697 63227 71253 74223 78039 79721 107211 126063 173187 182091 189681 234117 239163 250159 321633 442589 519561 546273 558047 569043 717489 750477 821951 964899 1036373 1327767 1638819 1674141 1707129 1833583 2152467 2251431 2465853 3109119 3983301 5022423 5500749 5753657 6754293 7254611 7397559 9327357 11949903 12835081 15067269 16502247 17260971 21763833 22192677 23836579 27982071 38505243 49506741 51782913 65291499 71509737 115515729 155348739 166856053 195874497 214529211 346547187 500568159 643587633 1501704477 4505113431