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164161161461 = 11137108932423
BaseRepresentation
bin1001100011100011000…
…1001000100011110101
3120200201200012001102002
42120320301020203311
510142200224131321
6203225315225045
714601031564163
oct2307061104365
9520650161362
10164161161461
1163690772380
12279952a8185
131263239763b
147d3441a233
15440be4920b
hex2638c488f5

164161161461 has 8 divisors (see below), whose sum is σ = 180392094144. Its totient is φ = 148148093920.

The previous prime is 164161161457. The next prime is 164161161467.

164161161461 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 164161161461 - 22 = 164161161457 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 (164161161467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54464705 + ... + 54467718.

It is an arithmetic number, because the mean of its divisors is an integer number (22549011768).

Almost surely, 2164161161461 is an apocalyptic number.

164161161461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164161161461 is a deficient number, since it is larger than the sum of its proper divisors (16230932683).

164161161461 is a wasteful number, since it uses less digits than its factorization.

164161161461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108932571.

The product of its digits is 20736, while the sum is 38.

The spelling of 164161161461 in words is "one hundred sixty-four billion, one hundred sixty-one million, one hundred sixty-one thousand, four hundred sixty-one".

Divisors: 1 11 137 1507 108932423 1198256653 14923741951 164161161461