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168535353352 = 23113433557773
BaseRepresentation
bin1001110011110101111…
…1010110100000001000
3121010000112000000122011
42130331133112200020
510230130022301402
6205231333305304
715114314603212
oct2347537264010
9533015000564
10168535353352
11655258a44a3
12287b6195234
1312b7b692672
14822b3375b2
1545b5e85ed7
hex273d7d6808

168535353352 has 64 divisors (see below), whose sum is σ = 320524328880. Its totient is φ = 83071844352.

The previous prime is 168535353319. The next prime is 168535353353. The reversal of 168535353352 is 253353535861.

168535353352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 12009091396 + 156526261956 = 109586^2 + 395634^2 .

It is a super-3 number, since 3×1685353533523 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 168535353296 and 168535353305.

It is not an unprimeable number, because it can be changed into a prime (168535353353) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 218027238 + ... + 218028010.

Almost surely, 2168535353352 is an apocalyptic number.

It is an amenable number.

168535353352 is a deficient number, since it is larger than the sum of its proper divisors (151988975528).

168535353352 is a wasteful number, since it uses less digits than its factorization.

168535353352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1878 counting only the distinct ones).

The product of its digits is 4860000, while the sum is 49.

The spelling of 168535353352 in words is "one hundred sixty-eight billion, five hundred thirty-five million, three hundred fifty-three thousand, three hundred fifty-two".

Divisors: 1 2 4 8 113 226 433 452 557 773 866 904 1114 1546 1732 2228 3092 3464 4456 6184 48929 62941 87349 97858 125882 174698 195716 241181 251764 334709 349396 391432 430561 482362 503528 669418 698792 861122 964724 1338836 1722244 1929448 2677672 3444488 27253453 37822117 48653393 54506906 75644234 97306786 109013812 151288468 186432913 194613572 218027624 302576936 372865826 389227144 745731652 1491463304 21066919169 42133838338 84267676676 168535353352