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2133052344 = 2332199148873
BaseRepresentation
bin111111100100011…
…1100101110111000
312111122201021201200
41333020330232320
513332030133334
6551354414200
7103600434333
oct17710745670
95448637650
102133052344
119a5063885
124b6431360
1327cbc1267
1416341161a
15c73e5799
hex7f23cbb8

2133052344 has 48 divisors (see below), whose sum is σ = 5806086000. Its totient is φ = 707439744.

The previous prime is 2133052333. The next prime is 2133052349. The reversal of 2133052344 is 4432503312.

2133052344 is a `hidden beast` number, since 2 + 13 + 305 + 2 + 344 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133052349) 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 11 ways as a sum of consecutive naturals, for example, 60109 + ... + 88764.

It is an arithmetic number, because the mean of its divisors is an integer number (120960125).

Almost surely, 22133052344 is an apocalyptic number.

2133052344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2133052344 is an abundant number, since it is smaller than the sum of its proper divisors (3673033656).

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

2133052344 is a wasteful number, since it uses less digits than its factorization.

2133052344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149084 (or 149077 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2133052344 is about 46184.9796362410. The cubic root of 2133052344 is about 1287.2626577803.

Adding to 2133052344 its reverse (4432503312), we get a palindrome (6565555656).

The spelling of 2133052344 in words is "two billion, one hundred thirty-three million, fifty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 199 398 597 796 1194 1592 1791 2388 3582 4776 7164 14328 148873 297746 446619 595492 893238 1190984 1339857 1786476 2679714 3572952 5359428 10718856 29625727 59251454 88877181 118502908 177754362 237005816 266631543 355508724 533263086 711017448 1066526172 2133052344