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2134205568 = 273211179907
BaseRepresentation
bin111111100110101…
…0110010010000000
312111201212212122200
41333031112102000
513332324034233
6551435233200
7103613306445
oct17715262200
95451785580
102134205568
119a5781260
124b68a8800
13280206141
141636319cc
15c7572313
hex7f356480

2134205568 has 192 divisors, whose sum is σ = 7094524320. Its totient is φ = 608624640.

The previous prime is 2134205531. The next prime is 2134205587. The reversal of 2134205568 is 8655024312.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210471 + ... + 220377.

Almost surely, 22134205568 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 2134205568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547262160).

2134205568 is an abundant number, since it is smaller than the sum of its proper divisors (4960318752).

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

2134205568 is a wasteful number, since it uses less digits than its factorization.

2134205568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9955 (or 9940 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2134205568 is about 46197.4627874735. The cubic root of 2134205568 is about 1287.4946000088.

It can be divided in two parts, 2134 and 205568, that added together give a palindrome (207702).

The spelling of 2134205568 in words is "two billion, one hundred thirty-four million, two hundred five thousand, five hundred sixty-eight".