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164412661 = 7174872837
BaseRepresentation
bin10011100110010…
…11110011110101
3102110101000202211
421303023303311
5314042201121
624151533421
74034325130
oct1163136365
9373330684
10164412661
1184896736
124708a271
13280a70ca
1417b9b217
15e679ce1
hex9ccbcf5

164412661 has 16 divisors (see below), whose sum is σ = 199431936. Its totient is φ = 132316416.

The previous prime is 164412659. The next prime is 164412673. The reversal of 164412661 is 166214461.

It is a cyclic number.

It is not a de Polignac number, because 164412661 - 21 = 164412659 is a prime.

It is a super-3 number, since 3×1644126613 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164412161) 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 15 ways as a sum of consecutive naturals, for example, 56535 + ... + 59371.

It is an arithmetic number, because the mean of its divisors is an integer number (12464496).

Almost surely, 2164412661 is an apocalyptic number.

It is an amenable number.

164412661 is a deficient number, since it is larger than the sum of its proper divisors (35019275).

164412661 is a wasteful number, since it uses less digits than its factorization.

164412661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348.

The product of its digits is 6912, while the sum is 31.

The square root of 164412661 is about 12822.3500576142. The cubic root of 164412661 is about 547.8290853943.

The spelling of 164412661 in words is "one hundred sixty-four million, four hundred twelve thousand, six hundred sixty-one".

Divisors: 1 7 17 119 487 2837 3409 8279 19859 48229 57953 337603 1381619 9671333 23487523 164412661