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68989287148441 = 112172444172
BaseRepresentation
bin11111010111110110100011…
…11101000010101110011001
3100001021022102001002002200121
433223323101331002232121
533020310030002222231
6402421124015233241
720350211564113432
oct1753732175025631
9301238361062617
1068989287148441
111aa89213059300
1278a2704818821
132c6587b161b5a
141307156738489
157e9882a11311
hex3ebed1f42b99

68989287148441 has 27 divisors (see below), whose sum is σ = 80556064069117. Its totient is φ = 59026938122240.

The previous prime is 68989287148433. The next prime is 68989287148459. The reversal of 68989287148441 is 14484178298986.

The square root of 68989287148441 is 8305979.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6909385502041 + 62079901646400 = 2628571^2 + 7879080^2 .

It is not a de Polignac number, because 68989287148441 - 23 = 68989287148433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68989287148841) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1553195865 + ... + 1553240281.

Almost surely, 268989287148441 is an apocalyptic number.

68989287148441 is the 8305979-th square number.

68989287148441 is the 4152990-th centered octagonal number.

It is an amenable number.

68989287148441 is a deficient number, since it is larger than the sum of its proper divisors (11566776920676).

68989287148441 is an frugal number, since it uses more digits than its factorization.

68989287148441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88890 (or 44445 counting only the distinct ones).

The product of its digits is 1783627776, while the sum is 79.

The spelling of 68989287148441 in words is "sixty-eight trillion, nine hundred eighty-nine billion, two hundred eighty-seven million, one hundred forty-eight thousand, four hundred forty-one".

Divisors: 1 11 17 121 187 289 2057 3179 34969 44417 488587 755089 5374457 8305979 12836513 91365769 141201643 1553218073 1972869889 21701568779 33538788113 238717256569 368926669243 570159397921 4058193361673 6271753377131 68989287148441