Search a number
-
+
18387831050391 = 3112712412960387
BaseRepresentation
bin1000010111001010000000…
…01000110101000010010111
32102002212012120011100001010
410023211000020311002113
54402231234222103031
6103035130350303303
73605322411035415
oct413450010650227
972085176140033
1018387831050391
11594a265292700
12208b8274b7b33
13a34c71220cca
14477d937342b5
1521d49a2ac246
hex10b940235097

18387831050391 has 48 divisors (see below), whose sum is σ = 27441517872384. Its totient is φ = 10941586656000.

The previous prime is 18387831050383. The next prime is 18387831050399. The reversal of 18387831050391 is 19305013878381.

It is an interprime number because it is at equal distance from previous prime (18387831050383) and next prime (18387831050399).

It is not a de Polignac number, because 18387831050391 - 23 = 18387831050383 is a prime.

It is a super-2 number, since 2×183878310503912 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18387831050399) 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 47 ways as a sum of consecutive naturals, for example, 4731100 + ... + 7691486.

It is an arithmetic number, because the mean of its divisors is an integer number (571698289008).

Almost surely, 218387831050391 is an apocalyptic number.

18387831050391 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

18387831050391 is a deficient number, since it is larger than the sum of its proper divisors (9053686821993).

18387831050391 is a wasteful number, since it uses less digits than its factorization.

18387831050391 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960724 (or 2960713 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The spelling of 18387831050391 in words is "eighteen trillion, three hundred eighty-seven billion, eight hundred thirty-one million, fifty thousand, three hundred ninety-one".

Divisors: 1 3 11 33 71 121 213 241 363 723 781 2343 2651 7953 8591 17111 25773 29161 51333 87483 188221 564663 2070431 2960387 6211293 8881161 32564257 97692771 210187477 358206827 630562431 713453267 1074620481 2140359801 2312062247 6936186741 7847985937 23543957811 25432684717 50655181957 76298054151 86327845307 151965545871 258983535921 557207001527 1671621004581 6129277016797 18387831050391