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2134409536 = 26719250753
BaseRepresentation
bin111111100111000…
…1000000101000000
312111202021020110001
41333032020011000
513332402101121
6551443445344
7103615116220
oct17716100500
95452236401
102134409536
119a5900526
124b6986854
13280277c2c
14163686080
15c75b2991
hex7f388140

2134409536 has 56 divisors (see below), whose sum is σ = 5095321280. Its totient is φ = 866598912.

The previous prime is 2134409527. The next prime is 2134409539. The reversal of 2134409536 is 6359044312.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 2134409495 and 2134409504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134409539) by changing a digit.

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, 116865 + ... + 133888.

It is an arithmetic number, because the mean of its divisors is an integer number (90987880).

Almost surely, 22134409536 is an apocalyptic number.

It is an amenable number.

2134409536 is an abundant number, since it is smaller than the sum of its proper divisors (2960911744).

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

2134409536 is a wasteful number, since it uses less digits than its factorization.

2134409536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250791 (or 250781 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 2134409536 is about 46199.6703018539. The cubic root of 2134409536 is about 1287.5356143854.

The spelling of 2134409536 in words is "two billion, one hundred thirty-four million, four hundred nine thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 8512 250753 501506 1003012 1755271 2006024 3510542 4012048 4764307 7021084 8024096 9528614 14042168 16048192 19057228 28084336 33350149 38114456 56168672 66700298 76228912 112337344 133400596 152457824 266801192 304915648 533602384 1067204768 2134409536