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164425743 = 3237598369
BaseRepresentation
bin10011100110011…
…11000000001111
3102110101200201100
421303033000033
5314043110433
624152114143
74034411226
oct1163170017
9373350640
10164425743
11848a5549
1247095953
13280b0051
1417ba1cbd
15e67db13
hex9ccf00f

164425743 has 24 divisors (see below), whose sum is σ = 248086800. Its totient is φ = 104834304.

The previous prime is 164425721. The next prime is 164425747. The reversal of 164425743 is 347524461.

164425743 is a `hidden beast` number, since 1 + 644 + 2 + 5 + 7 + 4 + 3 = 666.

164425743 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164425743 - 213 = 164417551 is a prime.

It is a super-3 number, since 3×1644257433 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 164425698 and 164425707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164425747) 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, 15463 + ... + 23831.

It is an arithmetic number, because the mean of its divisors is an integer number (10336950).

Almost surely, 2164425743 is an apocalyptic number.

164425743 is a deficient number, since it is larger than the sum of its proper divisors (83661057).

164425743 is a wasteful number, since it uses less digits than its factorization.

164425743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8471 (or 8468 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 164425743 is about 12822.8601723640. The cubic root of 164425743 is about 547.8436149121.

The spelling of 164425743 in words is "one hundred sixty-four million, four hundred twenty-five thousand, seven hundred forty-three".

Divisors: 1 3 9 37 59 111 177 333 531 2183 6549 8369 19647 25107 75321 309653 493771 928959 1481313 2786877 4443939 18269527 54808581 164425743