Search a number
-
+
2415168615093 = 3132331634313693
BaseRepresentation
bin100011001001010011010…
…001000111001010110101
322112212222020211201001220
4203021103101013022311
5304032231131140333
65045302501140553
7336330062335503
oct43112321071265
98485866751056
102415168615093
118512a37a1213
123300ab0ba759
131469986375b0
1484c75409673
1542c563e58b3
hex232534472b5

2415168615093 has 64 divisors (see below), whose sum is σ = 3736308645888. Its totient is φ = 1375461077760.

The previous prime is 2415168615077. The next prime is 2415168615133. The reversal of 2415168615093 is 3905168615142.

It is not a de Polignac number, because 2415168615093 - 24 = 2415168615077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2415168615073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176372955 + ... + 176386647.

It is an arithmetic number, because the mean of its divisors is an integer number (58379822592).

Almost surely, 22415168615093 is an apocalyptic number.

2415168615093 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2415168615093 is a deficient number, since it is larger than the sum of its proper divisors (1321140030795).

2415168615093 is a wasteful number, since it uses less digits than its factorization.

2415168615093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20106.

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 2415168615093 in words is "two trillion, four hundred fifteen billion, one hundred sixty-eight million, six hundred fifteen thousand, ninety-three".

Divisors: 1 3 13 23 31 39 69 93 299 403 713 897 1209 2139 6343 9269 13693 19029 27807 41079 82459 145889 178009 196633 247377 314939 424483 437667 534027 589899 944817 1273449 1896557 2556229 4094207 4522559 5518279 5689671 7668687 9763109 12282621 13567677 16554837 29289327 58793267 86854699 126920417 176379801 260564097 380761251 1129111087 1997658077 2692495669 3387333261 5992974231 8077487007 25969555001 35002443697 61927400387 77908665003 105007331091 185782201161 805056205031 2415168615093