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2135523328 = 21565171
BaseRepresentation
bin111111101001001…
…1000000000000000
312111211100211021121
41333102120000000
513333143221303
6551523402024
7103630435351
oct17722300000
95454324247
102135523328
119a64a1314
124b7223314
13280577b93
14163895d28
15c77329bd
hex7f498000

2135523328 has 32 divisors (see below), whose sum is σ = 4271047020. Its totient is φ = 1067745280.

The previous prime is 2135523317. The next prime is 2135523353. The reversal of 2135523328 is 8233255312.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 2135523293 and 2135523302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 183 + ... + 65353.

Almost surely, 22135523328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135523328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135523510).

2135523328 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

2135523328 is an frugal number, since it uses more digits than its factorization.

2135523328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65201 (or 65173 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

The square root of 2135523328 is about 46211.7228417206. The cubic root of 2135523328 is about 1287.7595322846.

The spelling of 2135523328 in words is "two billion, one hundred thirty-five million, five hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65171 130342 260684 521368 1042736 2085472 4170944 8341888 16683776 33367552 66735104 133470208 266940416 533880832 1067761664 2135523328