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68184176641 = 74734
BaseRepresentation
bin111111100000000101…
…111111100000000001
320111222212120001111121
4333200011333200001
52104120122123031
651153503312241
74632444640000
oct774005774001
9214885501447
1068184176641
1126a0a210109
121126a8ab681
1365781a7269
14342b7c0c37
151b90ece011
hexfe017f801

68184176641 has 25 divisors (see below), whose sum is σ = 80648243461. Its totient is φ = 57642982992.

The previous prime is 68184176629. The next prime is 68184176651. The reversal of 68184176641 is 14667148186.

It is a happy number.

The square root of 68184176641 is 261121.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1248138241 + 66936038400 = 35329^2 + 258720^2 .

It is not a de Polignac number, because 68184176641 - 29 = 68184176129 is a prime.

It is a super-2 number, since 2×681841766412 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68184176611) 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 24 ways as a sum of consecutive naturals, for example, 934029781 + ... + 934029853.

Almost surely, 268184176641 is an apocalyptic number.

68184176641 is the 261121-st square number.

68184176641 is the 130561-st centered octagonal number.

It is an amenable number.

68184176641 is a deficient number, since it is larger than the sum of its proper divisors (12464066820).

68184176641 is an frugal number, since it uses more digits than its factorization.

68184176641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 80 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 52.

The spelling of 68184176641 in words is "sixty-eight billion, one hundred eighty-four million, one hundred seventy-six thousand, six hundred forty-one".

Divisors: 1 7 49 73 343 511 2401 3577 5329 25039 37303 175273 261121 389017 1827847 2723119 12794929 19061833 28398241 133432831 198787687 934029817 1391513809 9740596663 68184176641