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445630696056 = 233271325231881
BaseRepresentation
bin1100111110000011010…
…10001100101001111000
31120121020202202220101200
412133001222030221320
524300122424233211
6540415300214200
744124100263210
oct6370152145170
91517222686350
10445630696056
11161a99a01757
127244899a360
133303b104b00
14177d64c9240
15b8d28b9b56
hex67c1a8ca78

445630696056 has 144 divisors (see below), whose sum is σ = 1493597673360. Its totient is φ = 117528952320.

The previous prime is 445630695997. The next prime is 445630696061. The reversal of 445630696056 is 650696036544.

445630696056 is a `hidden beast` number, since 445 + 6 + 30 + 69 + 60 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 445630695993 and 445630696011.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2530765 + ... + 2701116.

It is an arithmetic number, because the mean of its divisors is an integer number (10372206065).

Almost surely, 2445630696056 is an apocalyptic number.

It is an amenable number.

445630696056 is an abundant number, since it is smaller than the sum of its proper divisors (1047966977304).

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

445630696056 is a wasteful number, since it uses less digits than its factorization.

445630696056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5231926 (or 5231906 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 445630696056 in words is "four hundred forty-five billion, six hundred thirty million, six hundred ninety-six thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 169 182 234 252 273 312 338 364 468 504 507 546 676 728 819 936 1014 1092 1183 1352 1521 1638 2028 2184 2366 3042 3276 3549 4056 4732 6084 6552 7098 9464 10647 12168 14196 21294 28392 42588 85176 5231881 10463762 15695643 20927524 31391286 36623167 41855048 47086929 62782572 68014453 73246334 94173858 109869501 125565144 136028906 146492668 188347716 204043359 219739002 272057812 292985336 329608503 376695432 408086718 439478004 476101171 544115624 612130077 659217006 816173436 878956008 884187889 952202342 1224260154 1318434012 1428303513 1632346872 1768375778 1904404684 2448520308 2636868024 2652563667 2856607026 3536751556 3808809368 4284910539 4897040616 5305127334 5713214052 6189315223 7073503112 7957691001 8569821078 10610254668 11426428104 12378630446 15915382002 17139642156 18567945669 21220509336 24757260892 31830764004 34279284312 37135891338 49514521784 55703837007 63661528008 74271782676 111407674014 148543565352 222815348028 445630696056