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45722144559 = 374131931829
BaseRepresentation
bin101010100101010000…
…001000111100101111
311101000110021121011110
4222211100020330233
51222114332111214
633000544123103
73206015550000
oct524520107457
9141013247143
1045722144559
1118432a5aa33
128a40306493
134408704b10
1422da52d1a7
1512c9037159
hexaa5408f2f

45722144559 has 160 divisors (see below), whose sum is σ = 83321907200. Its totient is φ = 22084151040.

The previous prime is 45722144539. The next prime is 45722144561. The reversal of 45722144559 is 95544122754.

It is a happy number.

It is not a de Polignac number, because 45722144559 - 211 = 45722142511 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45722144539) 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 159 ways as a sum of consecutive naturals, for example, 55152957 + ... + 55153785.

It is an arithmetic number, because the mean of its divisors is an integer number (520761920).

Almost surely, 245722144559 is an apocalyptic number.

45722144559 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

45722144559 is a deficient number, since it is larger than the sum of its proper divisors (37599762641).

45722144559 is a wasteful number, since it uses less digits than its factorization.

45722144559 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 902 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 48.

The spelling of 45722144559 in words is "forty-five billion, seven hundred twenty-two million, one hundred forty-four thousand, five hundred fifty-nine".

Divisors: 1 3 7 13 19 21 31 39 49 57 91 93 133 147 217 247 273 343 399 403 589 637 651 741 829 931 1029 1209 1519 1729 1767 1911 2401 2487 2793 2821 4123 4459 4557 5187 5803 6517 7203 7657 8463 10633 10777 12103 12369 13377 15751 17409 19551 19747 22971 25699 28861 31213 31899 32331 36309 40621 45619 47253 53599 59241 74431 75439 77097 84721 86583 93639 110257 121863 136857 138229 160797 179893 202027 204763 223293 226317 254163 284347 330771 334087 375193 414687 488281 528073 539679 593047 606081 614289 771799 853041 967603 1002261 1125579 1259251 1414189 1433341 1464843 1584219 1779141 1990429 2315397 2338609 2626351 2902809 3417967 3696511 3777753 4242567 4300023 5402593 5971287 6347653 7015827 7879053 8814757 10033387 10253901 11089533 16207779 16370263 18384457 19042959 23925769 25875577 26444271 30100161 37818151 44433571 49110789 55153371 61703299 70233709 71777307 77626731 113454453 114591841 133300713 167480383 185109897 210701127 311034997 343775523 491635963 502441149 802142887 933104991 1172362681 1474907889 2177244979 2406428661 3517088043 6531734937 15240714853 45722144559