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445745633557302 = 232132239833647909
BaseRepresentation
bin110010101011001110011111…
…0001001011111101100110110
32011110020212101121101112220100
41211112130332021133230312
5431411044024142313202
64220004414522414530
7162614026222305051
oct14526347611375466
92143225347345810
10445745633557302
1111a03473063a941
1241bb05a6961446
131619482c5a2600
147c102bd23da98
15367ed009ad41c
hex195673e25fb36

445745633557302 has 144 divisors (see below), whose sum is σ = 1091369532258720. Its totient is φ = 131175806141952.

The previous prime is 445745633557271. The next prime is 445745633557319. The reversal of 445745633557302 is 203755336547544.

It is a happy number.

445745633557302 is a `hidden beast` number, since 4 + 4 + 5 + 7 + 4 + 56 + 3 + 3 + 5 + 573 + 0 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 445745633557302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 687651724 + ... + 688299632.

It is an arithmetic number, because the mean of its divisors is an integer number (7578955085130).

Almost surely, 2445745633557302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445745633557302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545684766129360).

445745633557302 is an abundant number, since it is smaller than the sum of its proper divisors (645623898701418).

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

445745633557302 is a wasteful number, since it uses less digits than its factorization.

445745633557302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657799 (or 657783 counting only the distinct ones).

The product of its (nonzero) digits is 635040000, while the sum is 63.

The spelling of 445745633557302 in words is "four hundred forty-five trillion, seven hundred forty-five billion, six hundred thirty-three million, five hundred fifty-seven thousand, three hundred two".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 169 207 234 299 338 414 507 598 897 1014 1521 1794 2691 3042 3887 5382 7774 9833 11661 19666 23322 29499 34983 58998 69966 88497 127829 176994 226159 255658 383487 452318 647909 678477 766974 1150461 1295818 1356954 1661777 1943727 2035431 2300922 2940067 3323554 3887454 4070862 4985331 5831181 5880134 8422817 8820201 9970662 11662362 14901907 14955993 16845634 17640402 25268451 26460603 29803814 29911986 38220871 44705721 50536902 52921206 75805353 76441742 89411442 109496621 114662613 134117163 151610706 193724791 218993242 229325226 268234326 328489863 343987839 387449582 581174373 656979726 687975678 985469589 1162348746 1743523119 1970939178 2518422283 3487046238 5036844566 6370889197 7555266849 12741778394 15110533698 19112667591 22665800547 38225335182 45331601094 57338002773 82821559561 114676005546 146530451531 165643119122 248464678683 293060903062 439591354593 496929357366 745394036049 879182709186 1076680274293 1318774063779 1490788072098 1904895869903 2153360548586 2637548127558 3230040822879 3809791739806 5714687609709 6460081645758 9690122468637 11429375219418 17144062829127 19380244937274 24763646308739 34288125658254 49527292617478 74290938926217 148581877852434 222872816778651 445745633557302