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67164813 = 3223332029
BaseRepresentation
bin1000000000011…
…01101010001101
311200101022210200
410000031222031
5114143233223
610355324113
71443614532
oct400155215
9150338720
1067164813
1134a04a11
121a5b0639
1310bb81c1
148cc4d89
155d6aa43
hex400da8d

67164813 has 12 divisors (see below), whose sum is σ = 97435260. Its totient is φ = 44582976.

The previous prime is 67164809. The next prime is 67164821. The reversal of 67164813 is 31846176.

67164813 is a `hidden beast` number, since 6 + 7 + 1 + 648 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4485924 + 62678889 = 2118^2 + 7917^2 .

It is not a de Polignac number, because 67164813 - 22 = 67164809 is a prime.

It is a super-2 number, since 2×671648132 = 9022224210649938, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67164883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13918 + ... + 18111.

It is an arithmetic number, because the mean of its divisors is an integer number (8119605).

Almost surely, 267164813 is an apocalyptic number.

It is an amenable number.

67164813 is a deficient number, since it is larger than the sum of its proper divisors (30270447).

67164813 is a wasteful number, since it uses less digits than its factorization.

67164813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32268 (or 32265 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 67164813 is about 8195.4141445079. The cubic root of 67164813 is about 406.4875701414.

The spelling of 67164813 in words is "sixty-seven million, one hundred sixty-four thousand, eight hundred thirteen".

Divisors: 1 3 9 233 699 2097 32029 96087 288261 7462757 22388271 67164813