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68245815121 = 1141721272
BaseRepresentation
bin111111100011110001…
…000111111101010001
320112011011112121121021
4333203301013331101
52104231412040441
651203544355441
74634123600011
oct774361077521
9215134477537
1068245815121
1126a40a90000
1211287475b81
136587ba8c33
143435a67c41
151b966073d1
hexfe3c47f51

68245815121 has 45 divisors (see below), whose sum is σ = 80378428395. Its totient is φ = 57932360640.

The previous prime is 68245815107. The next prime is 68245815137. The reversal of 68245815121 is 12151854286.

The square root of 68245815121 is 261239.

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

It can be written as a sum of positive squares in only one way, i.e., 53132555025 + 15113260096 = 230505^2 + 122936^2 .

It is not a de Polignac number, because 68245815121 - 25 = 68245815089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68245885121) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 537368560 + ... + 537368686.

Almost surely, 268245815121 is an apocalyptic number.

68245815121 is the 261239-th square number.

68245815121 is the 130620-th centered octagonal number.

It is an amenable number.

68245815121 is a deficient number, since it is larger than the sum of its proper divisors (12132613274).

68245815121 is an frugal number, since it uses more digits than its factorization.

68245815121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 155 counting only the distinct ones).

The product of its digits is 153600, while the sum is 43.

The spelling of 68245815121 in words is "sixty-eight billion, two hundred forty-five million, eight hundred fifteen thousand, one hundred twenty-one".

Divisors: 1 11 17 121 127 187 289 1331 1397 2057 2159 3179 14641 15367 16129 22627 23749 34969 36703 169037 177419 248897 261239 274193 384659 403733 1859407 1951609 2873629 3016123 4231249 4441063 4661281 21467699 31609919 33177353 48851693 51274091 236144689 364950883 537368623 564015001 4014459713 6204165011 68245815121