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18295112144 = 2429103382807
BaseRepresentation
bin10001000010011110…
…010100000111010000
31202020000110222210002
4101002132110013100
5244432022042034
612223223425132
71215240613241
oct210236240720
952200428702
1018295112144
1178391285a1
123666bb51a8
13195740965a
14c57acacc8
1572124de7e
hex4427941d0

18295112144 has 40 divisors (see below), whose sum is σ = 37025189760. Its totient is φ = 8746351488.

The previous prime is 18295112137. The next prime is 18295112153. The reversal of 18295112144 is 44121159281.

It is a super-2 number, since 2×182951121442 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18295112098 and 18295112107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143612 + ... + 239195.

It is an arithmetic number, because the mean of its divisors is an integer number (925629744).

Almost surely, 218295112144 is an apocalyptic number.

It is an amenable number.

18295112144 is an abundant number, since it is smaller than the sum of its proper divisors (18730077616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18295112144 is a wasteful number, since it uses less digits than its factorization.

18295112144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382947 (or 382941 counting only the distinct ones).

The product of its digits is 23040, while the sum is 38.

The spelling of 18295112144 in words is "eighteen billion, two hundred ninety-five million, one hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 103 116 206 232 412 464 824 1648 2987 5974 11948 23896 47792 382807 765614 1531228 3062456 6124912 11101403 22202806 39429121 44405612 78858242 88811224 157716484 177622448 315432968 630865936 1143444509 2286889018 4573778036 9147556072 18295112144