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45360387261 = 3473432883
BaseRepresentation
bin101010001111101100…
…001001010010111101
311100002020120102110000
4222033230021102331
51220344224343021
632501022304513
73164033634000
oct521754112275
9140066512400
1045360387261
1118267835362
12895b128139
13437b793247
1422a4481537
1512a73c9b26
hexa8fb094bd

45360387261 has 120 divisors (see below), whose sum is σ = 80993140800. Its totient is φ = 25288753392.

The previous prime is 45360387251. The next prime is 45360387307. The reversal of 45360387261 is 16278306354.

45360387261 is a `hidden beast` number, since 4 + 5 + 3 + 6 + 0 + 387 + 261 = 666.

It is not a de Polignac number, because 45360387261 - 215 = 45360354493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45360387251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 51370326 + ... + 51371208.

It is an arithmetic number, because the mean of its divisors is an integer number (674942840).

Almost surely, 245360387261 is an apocalyptic number.

It is an amenable number.

45360387261 is a deficient number, since it is larger than the sum of its proper divisors (35632753539).

45360387261 is an frugal number, since it uses more digits than its factorization.

45360387261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 45360387261 in words is "forty-five billion, three hundred sixty million, three hundred eighty-seven thousand, two hundred sixty-one".

Divisors: 1 3 7 9 21 27 43 49 63 81 129 147 189 301 343 387 441 567 883 903 1029 1161 1323 1849 2107 2649 2709 3087 3483 3969 5547 6181 6321 7947 8127 9261 12943 14749 16641 18543 18963 23841 24381 27783 37969 38829 43267 44247 49923 55629 56889 71523 90601 113907 116487 129801 132741 149769 166887 170667 265783 271803 302869 341721 349461 389403 398223 500661 634207 797349 815409 908607 1025163 1048383 1168209 1194669 1632667 1860481 1902621 2392047 2446227 2725821 3075489 3504627 4898001 5581443 5707863 7176141 7338681 8177463 11428669 13023367 14694003 16744329 17123589 21528423 24532389 34286007 39070101 44082009 50232987 51370767 80000683 102858021 117210303 132246027 150698961 240002049 308574063 351630909 560004781 720006147 925722189 1054892727 1680014343 2160018441 5040043029 6480055323 15120129087 45360387261