Search a number
-
+
18225155152281 = 371127172434141
BaseRepresentation
bin1000010010011010111111…
…11001100001100110011001
32101112022022101202110220210
410021031133321201212121
54342100104204333111
6102432304245241333
73560503222521120
oct411153771414631
971468271673823
1018225155152281
115897276a55700
1220641a7703249
13a2281778912c
144701606a2ab7
1521912894b0a6
hex10935fe61999

18225155152281 has 24 divisors (see below), whose sum is σ = 30525879708352. Its totient is φ = 9467613064800.

The previous prime is 18225155152249. The next prime is 18225155152283.

18225155152281 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 18225155152281 - 25 = 18225155152249 is a prime.

It is a super-2 number, since 2×182251551522812 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 18225155152281.

It is not an unprimeable number, because it can be changed into a prime (18225155152283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3586214530 + ... + 3586219611.

Almost surely, 218225155152281 is an apocalyptic number.

18225155152281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18225155152281 is a deficient number, since it is larger than the sum of its proper divisors (12300724556071).

18225155152281 is a wasteful number, since it uses less digits than its factorization.

18225155152281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7172434173 (or 7172434162 counting only the distinct ones).

The product of its digits is 640000, while the sum is 48.

It can be divided in two parts, 1822515 and 5152281, that added together give a palindrome (6974796).

The spelling of 18225155152281 in words is "eighteen trillion, two hundred twenty-five billion, one hundred fifty-five million, one hundred fifty-two thousand, two hundred eighty-one".

Divisors: 1 3 7 11 21 33 77 121 231 363 847 2541 7172434141 21517302423 50207038987 78896775551 150621116961 236690326653 552277428857 867864531061 1656832286571 2603593593183 6075051717427 18225155152281