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68357601 = 36137213
BaseRepresentation
bin1000001001100…
…00110111100001
311202121221000000
410010300313201
5114444420401
610441050213
71460013204
oct404606741
9152557000
1068357601
113564a094
121aa86969
13112150b0
14911593b
156004186
hex4130de1

68357601 has 28 divisors (see below), whose sum is σ = 110388628. Its totient is φ = 42060384.

The previous prime is 68357579. The next prime is 68357617. The reversal of 68357601 is 10675386.

68357601 is a `hidden beast` number, since 6 + 83 + 576 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33074001 + 35283600 = 5751^2 + 5940^2 .

It is not a de Polignac number, because 68357601 - 210 = 68356577 is a prime.

It is a super-2 number, since 2×683576012 = 9345523228950402, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68357101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5871 + ... + 13083.

It is an arithmetic number, because the mean of its divisors is an integer number (3942451).

Almost surely, 268357601 is an apocalyptic number.

It is an amenable number.

68357601 is a deficient number, since it is larger than the sum of its proper divisors (42031027).

68357601 is an equidigital number, since it uses as much as digits as its factorization.

68357601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7244 (or 7229 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 68357601 is about 8267.8655649448. The cubic root of 68357601 is about 408.8797517546.

The spelling of 68357601 in words is "sixty-eight million, three hundred fifty-seven thousand, six hundred one".

Divisors: 1 3 9 13 27 39 81 117 243 351 729 1053 3159 7213 9477 21639 64917 93769 194751 281307 584253 843921 1752759 2531763 5258277 7595289 22785867 68357601