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90943573446 = 23411795471181
BaseRepresentation
bin101010010110010101…
…0001100110111000110
322200202000101012120000
41110230222030313012
52442223023322241
6105440124222130
76366444422355
oct1245452146706
9280660335500
1090943573446
1135629304860
121576099a946
138764463b6b
14458a35b99c
152574113eb6
hex152ca8cdc6

90943573446 has 160 divisors (see below), whose sum is σ = 225723041280. Its totient is φ = 27137073600.

The previous prime is 90943573421. The next prime is 90943573481. The reversal of 90943573446 is 64437534909.

It is a happy number.

90943573446 is a `hidden beast` number, since 90 + 9 + 43 + 5 + 73 + 446 = 666.

It is a super-2 number, since 2×909435734462 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 90943573392 and 90943573401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77004976 + ... + 77006156.

It is an arithmetic number, because the mean of its divisors is an integer number (1410769008).

Almost surely, 290943573446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90943573446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112861520640).

90943573446 is an abundant number, since it is smaller than the sum of its proper divisors (134779467834).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90943573446 is a wasteful number, since it uses less digits than its factorization.

90943573446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 90943573446 in words is "ninety billion, nine hundred forty-three million, five hundred seventy-three thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 79 81 99 158 162 198 237 297 474 547 594 711 869 891 1094 1181 1422 1641 1738 1782 2133 2362 2607 3282 3543 4266 4923 5214 6017 6399 7086 7821 9846 10629 12034 12798 12991 14769 15642 18051 21258 23463 25982 29538 31887 36102 38973 43213 44307 46926 54153 63774 70389 77946 86426 88614 93299 95661 108306 116919 129639 140778 162459 186598 191322 233838 259278 279897 324918 350757 388917 475343 487377 559794 646007 701514 777834 839691 950686 974754 1026289 1052271 1166751 1292014 1426029 1679382 1938021 2052578 2104542 2333502 2519073 2852058 3078867 3500253 3876042 4278087 5038146 5814063 6157734 7000506 7106077 7557219 8556174 9236601 11628126 12834261 14212154 15114438 17442189 18473202 21318231 25668522 27709803 34884378 38502783 42636462 51034553 52326567 55419606 63954693 77005566 83129409 102069106 104653134 127909386 153103659 166258818 191864079 306207318 383728158 459310977 561380083 575592237 918621954 1122760166 1151184474 1377932931 1684140249 2755865862 3368280498 4133798793 5052420747 8267597586 10104841494 15157262241 30314524482 45471786723 90943573446