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45221134311224 = 23311633136615407
BaseRepresentation
bin10100100100000110111011…
…01001011001111100111000
312221010002122121021001221122
422102003131221121330320
521411400340340424344
6240102145144324412
712345055602325454
oct1222033551317470
9187102577231848
1045221134311224
11134551a2451643
1250a41aa473708
131c3044735a8a1
14b24a00b39664
1553648aee0aee
hex2920dda59f38

45221134311224 has 128 divisors (see below), whose sum is σ = 88493099335680. Its totient is φ = 21640676428800.

The previous prime is 45221134311217. The next prime is 45221134311233. The reversal of 45221134311224 is 42211343112254.

45221134311224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8363439929 + ... + 8363445335.

It is an arithmetic number, because the mean of its divisors is an integer number (691352338560).

Almost surely, 245221134311224 is an apocalyptic number.

It is an amenable number.

45221134311224 is a deficient number, since it is larger than the sum of its proper divisors (43271965024456).

45221134311224 is a wasteful number, since it uses less digits than its factorization.

45221134311224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6581 (or 6577 counting only the distinct ones).

The product of its digits is 46080, while the sum is 35.

Adding to 45221134311224 its reverse (42211343112254), we get a palindrome (87432477423478).

The spelling of 45221134311224 in words is "forty-five trillion, two hundred twenty-one billion, one hundred thirty-four million, three hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 4 8 31 62 124 163 248 313 326 626 652 661 1252 1304 1322 2504 2644 5053 5288 5407 9703 10106 10814 19406 20212 20491 21628 38812 40424 40982 43256 51019 77624 81964 102038 107743 163928 167617 204076 206893 215486 335234 408152 413786 430972 670468 827572 861944 881341 1340936 1581589 1655144 1692391 1762682 3163178 3340033 3384782 3525364 3574027 6326356 6413683 6680066 6769564 7050728 7148054 12652712 12827366 13360132 13539128 14296108 25654732 26720264 27321571 28592216 33723559 51309464 52464121 54643142 67447118 104928242 109286284 110794837 134894236 209856484 218572568 221589674 269788472 275859733 419712968 443179348 551719466 582566401 886358696 1045430329 1103438932 1118670451 1165132802 2090860658 2206877864 2237340902 2330265604 4181721316 4474681804 4660531208 8363442632 8551651723 8949363608 17103303446 18059558431 34206606892 34678783981 36119116862 68413213784 69357567962 72238233724 138715135924 144476467448 182343283513 277430271848 364686567026 729373134052 1458746268104 5652641788903 11305283577806 22610567155612 45221134311224