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67668137161 = 59244092
BaseRepresentation
bin111111000001010101…
…011101010011001001
320110122220112112102021
4333001111131103021
52102041020342121
651030351004441
74613610450502
oct770125352311
9213586475367
1067668137161
1126774998aa9
1211145b09721
1364c52c7661
1433bd051ba9
151b60a48641
hexfc155d4c9

67668137161 has 9 divisors (see below), whose sum is σ = 68850109831. Its totient is φ = 66506131984.

The previous prime is 67668137143. The next prime is 67668137171. The reversal of 67668137161 is 16173186676.

The square root of 67668137161 is 260131.

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., 5088111561 + 62580025600 = 71331^2 + 250160^2 .

It is not a de Polignac number, because 67668137161 - 29 = 67668136649 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 67668137099 and 67668137108.

It is not an unprimeable number, because it can be changed into a prime (67668137171) 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 8 ways as a sum of consecutive naturals, for example, 15345525 + ... + 15349933.

Almost surely, 267668137161 is an apocalyptic number.

67668137161 is the 260131-st square number.

67668137161 is the 130066-th centered octagonal number.

It is an amenable number.

67668137161 is a deficient number, since it is larger than the sum of its proper divisors (1181972670).

67668137161 is an frugal number, since it uses more digits than its factorization.

67668137161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8936 (or 4468 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 52.

The spelling of 67668137161 in words is "sixty-seven billion, six hundred sixty-eight million, one hundred thirty-seven thousand, one hundred sixty-one".

Divisors: 1 59 3481 4409 260131 15347729 19439281 1146917579 67668137161