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352668373816 = 231183325314843
BaseRepresentation
bin1010010000111001010…
…11000101001100111000
31020201022001202122002211
411020130223011030320
521234231100430231
6430002535104504
734323310500523
oct5103453051470
91221261678084
10352668373816
11126625115070
1258423b12134
1327344660b45
14130d7dd1bba
15929143ceb1
hex521cac5338

352668373816 has 64 divisors (see below), whose sum is σ = 730331925120. Its totient is φ = 158313083520.

The previous prime is 352668373751. The next prime is 352668373819. The reversal of 352668373816 is 618373866253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352668373819) 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 15 ways as a sum of consecutive naturals, for example, 23752491 + ... + 23767333.

It is an arithmetic number, because the mean of its divisors is an integer number (11411436330).

Almost surely, 2352668373816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352668373816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365165962560).

352668373816 is an abundant number, since it is smaller than the sum of its proper divisors (377663551304).

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

352668373816 is a wasteful number, since it uses less digits than its factorization.

352668373816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18196 (or 18192 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 58.

The spelling of 352668373816 in words is "three hundred fifty-two billion, six hundred sixty-eight million, three hundred seventy-three thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 22 44 83 88 166 332 664 913 1826 3253 3652 6506 7304 13012 14843 26024 29686 35783 59372 71566 118744 143132 163273 269999 286264 326546 539998 653092 1079996 1231969 1306184 2159992 2463938 2969989 4927876 5939978 9855752 11879956 13551659 23759912 27103318 48284279 54206636 96568558 108413272 193137116 386274232 531127069 1062254138 2124508276 4007595157 4249016552 8015190314 16030380628 32060761256 44083546727 88167093454 176334186908 352668373816