Search a number
-
+
168368220558 = 232174289128287
BaseRepresentation
bin1001110011001110000…
…1110010100110001110
3121002120212111210112200
42130303201302212032
510224304231024213
6205203003142330
715110215155456
oct2346341624616
9532525453480
10168368220558
116544a52011a
122876a2149a6
1312b52b75415
14821306cd66
1545a6470273
hex273387298e

168368220558 has 48 divisors (see below), whose sum is σ = 386349575040. Its totient is φ = 52808675328.

The previous prime is 168368220557. The next prime is 168368220563. The reversal of 168368220558 is 855022863861.

168368220558 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 6 + 82 + 2 + 0 + 558 = 666.

168368220558 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1683682205583 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168368220557) 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 23 ways as a sum of consecutive naturals, for example, 1248291 + ... + 1376577.

It is an arithmetic number, because the mean of its divisors is an integer number (8048949480).

Almost surely, 2168368220558 is an apocalyptic number.

168368220558 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

168368220558 is an abundant number, since it is smaller than the sum of its proper divisors (217981354482).

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

168368220558 is a wasteful number, since it uses less digits than its factorization.

168368220558 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132601 (or 132598 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 168368220558 in words is "one hundred sixty-eight billion, three hundred sixty-eight million, two hundred twenty thousand, five hundred fifty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 4289 8578 12867 25734 38601 72913 77202 128287 145826 218739 256574 384861 437478 656217 769722 1154583 1312434 2180879 2309166 4361758 6542637 13085274 19627911 39255822 550222943 1100445886 1650668829 3301337658 4952006487 9353790031 9904012974 18707580062 28061370093 56122740186 84184110279 168368220558