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449669323458 = 232174773428303
BaseRepresentation
bin1101000101100100110…
…00010101101011000010
31120222200020011102200100
412202302120111223002
524331410321322313
6542324130103230
744326140120135
oct6426230255302
91528606142610
10449669323458
11163781679253
127319541ab16
1333532a2c374
1417a9aa1621c
15ba6c220173
hex68b2615ac2

449669323458 has 96 divisors (see below), whose sum is σ = 1067977737216. Its totient is φ = 136179477504.

The previous prime is 449669323451. The next prime is 449669323471. The reversal of 449669323458 is 854323966944.

449669323458 is a `hidden beast` number, since 4 + 4 + 96 + 6 + 93 + 2 + 3 + 458 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 449669323395 and 449669323404.

It is not an unprimeable number, because it can be changed into a prime (449669323451) 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 47 ways as a sum of consecutive naturals, for example, 835735 + ... + 1264037.

It is an arithmetic number, because the mean of its divisors is an integer number (11124768096).

Almost surely, 2449669323458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449669323458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533988868608).

449669323458 is an abundant number, since it is smaller than the sum of its proper divisors (618308413758).

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

449669323458 is a wasteful number, since it uses less digits than its factorization.

449669323458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428448 (or 428445 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 63.

The spelling of 449669323458 in words is "four hundred forty-nine billion, six hundred sixty-nine million, three hundred twenty-three thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 9 17 18 34 47 51 73 94 102 141 146 153 219 282 306 423 438 657 799 846 1241 1314 1598 2397 2482 3431 3723 4794 6862 7191 7446 10293 11169 14382 20586 22338 30879 58327 61758 116654 174981 349962 428303 524943 856606 1049886 1284909 2569818 3854727 7281151 7709454 14562302 20130241 21843453 31266119 40260482 43686906 60390723 62532238 65530359 93798357 120781446 131060718 181172169 187596714 281395071 342214097 362344338 531524023 562790142 684428194 1026642291 1063048046 1469507593 1594572069 2053284582 2939015186 3079926873 3189144138 4408522779 4783716207 6159853746 8817045558 9567432414 13225568337 24981629081 26451136674 49963258162 74944887243 149889774486 224834661729 449669323458