Search a number
-
+
28372137381 = 35716679681
BaseRepresentation
bin11010011011000111…
…000111010110100101
32201020022011220200000
4122123013013112211
5431101231344011
621011201211513
72023042121460
oct323307072645
981208156600
1028372137381
111103a371825
1255b9930b99
1328a2055193
1415321802d7
15b10c74356
hex69b1c75a5

28372137381 has 24 divisors (see below), whose sum is σ = 48571233984. Its totient is φ = 16212648960.

The previous prime is 28372137373. The next prime is 28372137397. The reversal of 28372137381 is 18373127382.

It is a happy number.

28372137381 is a `hidden beast` number, since 28 + 37 + 213 + 7 + 381 = 666.

It is not a de Polignac number, because 28372137381 - 23 = 28372137373 is a prime.

It is a super-2 number, since 2×283721373812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28372137181) 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 23 ways as a sum of consecutive naturals, for example, 8338140 + ... + 8341541.

It is an arithmetic number, because the mean of its divisors is an integer number (2023801416).

Almost surely, 228372137381 is an apocalyptic number.

28372137381 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

28372137381 is a deficient number, since it is larger than the sum of its proper divisors (20199096603).

28372137381 is an equidigital number, since it uses as much as digits as its factorization.

28372137381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16679703 (or 16679691 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

Subtracting from 28372137381 its reverse (18373127382), we obtain a palindrome (9999009999).

The spelling of 28372137381 in words is "twenty-eight billion, three hundred seventy-two million, one hundred thirty-seven thousand, three hundred eighty-one".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 1701 16679681 50039043 116757767 150117129 350273301 450351387 1050819903 1351054161 3152459709 4053162483 9457379127 28372137381