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162339691396 = 221922324612
BaseRepresentation
bin1001011100110000110…
…0110001101110000100
3120112000201202210012211
42113030030301232010
510124432430111041
6202324450553204
714504633415631
oct2271414615604
9515021683184
10162339691396
1162936583a13
1227567298804
1312401bcacbc
147c00555188
15435209e481
hex25cc331b84

162339691396 has 81 divisors (see below), whose sum is σ = 314118190533. Its totient is φ = 73394814240.

The previous prime is 162339691391. The next prime is 162339691433. The reversal of 162339691396 is 693196933261.

The square root of 162339691396 is 402914.

It is a perfect power (a square), and thus also a powerful number.

162339691396 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 52035996996 + 110303694400 = 228114^2 + 332120^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 162339691396.

It is not an unprimeable number, because it can be changed into a prime (162339691391) 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 26 ways as a sum of consecutive naturals, for example, 352146606 + ... + 352147066.

Almost surely, 2162339691396 is an apocalyptic number.

162339691396 is the 402914-th square number.

It is an amenable number.

162339691396 is a deficient number, since it is larger than the sum of its proper divisors (151778499137).

162339691396 is an equidigital number, since it uses as much as digits as its factorization.

162339691396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 505 counting only the distinct ones).

The product of its digits is 8503056, while the sum is 58.

The spelling of 162339691396 in words is "one hundred sixty-two billion, three hundred thirty-nine million, six hundred ninety-one thousand, three hundred ninety-six".

Divisors: 1 2 4 19 23 38 46 76 92 361 437 461 529 722 874 922 1058 1444 1748 1844 2116 8303 8759 10051 10603 16606 17518 20102 21206 33212 35036 40204 42412 166421 190969 201457 212521 243869 332842 381938 402914 425042 487738 665684 763876 805828 850084 975476 3827683 4037899 4633511 4887983 7655366 8075798 9267022 9775966 15310732 16151596 18534044 19551932 76720081 88036709 92871677 112423609 153440162 176073418 185743354 224847218 306880324 352146836 371486708 449694436 1764561863 2136048571 3529123726 4272097142 7058247452 8544194284 40584922849 81169845698 162339691396