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67106212117 = 7279127136501
BaseRepresentation
bin111110011111110101…
…111000100100010101
320102012202011210011121
4332133311320210111
52044413142241432
650454515003541
74563645251200
oct763765704425
9212182153147
1067106212117
112650678643a
12110098995b1
136435a70329
14336857a937
151b2b54c197
hexf9fd78915

67106212117 has 24 divisors (see below), whose sum is σ = 79673487360. Its totient is φ = 56343924000.

The previous prime is 67106212099. The next prime is 67106212153. The reversal of 67106212117 is 71121260176.

It is a de Polignac number, because none of the positive numbers 2k-67106212117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67106212417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423367 + ... + 559867.

It is an arithmetic number, because the mean of its divisors is an integer number (3319728640).

Almost surely, 267106212117 is an apocalyptic number.

It is an amenable number.

67106212117 is a deficient number, since it is larger than the sum of its proper divisors (12567275243).

67106212117 is a wasteful number, since it uses less digits than its factorization.

67106212117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136721 (or 136714 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The spelling of 67106212117 in words is "sixty-seven billion, one hundred six million, two hundred twelve thousand, one hundred seventeen".

Divisors: 1 7 49 79 127 553 889 3871 6223 10033 70231 136501 491617 955507 6688549 10783579 17335627 75485053 121349389 528395371 849445723 1369514533 9586601731 67106212117