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4493451816 = 2332719469241
BaseRepresentation
bin1000010111101010…
…01010001000101000
3102121011020000002100
410023311022020220
533200310424231
62021514133400
7216231465420
oct41365121050
912534200070
104493451816
1119a6488947
12a54a21260
13567c23139
14308ac3480
151b47481e6
hex10bd4a228

4493451816 has 96 divisors (see below), whose sum is σ = 14640350400. Its totient is φ = 1216270080.

The previous prime is 4493451761. The next prime is 4493451817. The reversal of 4493451816 is 6181543944.

4493451816 is a `hidden beast` number, since 44 + 93 + 4 + 518 + 1 + 6 = 666.

It is a super-2 number, since 2×44934518162 = 40382218445427395712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4493451817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225045 + ... + 244196.

It is an arithmetic number, because the mean of its divisors is an integer number (152503650).

Almost surely, 24493451816 is an apocalyptic number.

It is an amenable number.

4493451816 is an abundant number, since it is smaller than the sum of its proper divisors (10146898584).

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

4493451816 is a wasteful number, since it uses less digits than its factorization.

4493451816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469279 (or 469272 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 4493451816 is about 67033.2142747161. The cubic root of 4493451816 is about 1650.1624346973.

The spelling of 4493451816 in words is "four billion, four hundred ninety-three million, four hundred fifty-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4788 9576 469241 938482 1407723 1876964 2815446 3284687 3753928 4223169 5630892 6569374 8446338 8915579 9854061 11261784 13138748 16892676 17831158 19708122 26277496 26746737 29562183 33785352 35662316 39416244 53493474 59124366 62409053 71324632 78832488 80240211 106986948 118248732 124818106 160480422 187227159 213973896 236497464 249636212 320960844 374454318 499272424 561681477 641921688 748908636 1123362954 1497817272 2246725908 4493451816