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2533864512 = 26350326237
BaseRepresentation
bin1001011100000111…
…1011010001000000
320112120220122122210
42113001323101000
520142132131022
61055233302120
7116535331044
oct22701732100
96476818583
102533864512
111090333a03
125a8704940
13314c5841a
141a0748024
15ec6b9a0c
hex9707b440

2533864512 has 56 divisors (see below), whose sum is σ = 6717767616. Its totient is φ = 842910208.

The previous prime is 2533864507. The next prime is 2533864513. The reversal of 2533864512 is 2154683352.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2533864513) 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, 83458 + ... + 109694.

It is an arithmetic number, because the mean of its divisors is an integer number (119960136).

Almost surely, 22533864512 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 2533864512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358883808).

2533864512 is an abundant number, since it is smaller than the sum of its proper divisors (4183903104).

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

2533864512 is a wasteful number, since it uses less digits than its factorization.

2533864512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26755 (or 26745 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 2533864512 is about 50337.5060168857. The cubic root of 2533864512 is about 1363.3095062354.

The spelling of 2533864512 in words is "two billion, five hundred thirty-three million, eight hundred sixty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 503 1006 1509 2012 3018 4024 6036 8048 12072 16096 24144 26237 32192 48288 52474 78711 96576 104948 157422 209896 314844 419792 629688 839584 1259376 1679168 2518752 5037504 13197211 26394422 39591633 52788844 79183266 105577688 158366532 211155376 316733064 422310752 633466128 844621504 1266932256 2533864512