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5281132192 = 257216320663
BaseRepresentation
bin1001110101100011…
…11010111010100000
3111122001101022102121
410322301322322200
541303432212232
62232012554024
7244604611600
oct47261727240
914561338377
105281132192
112270074866
121034782914
136621816bb
14381562c00
1520d989d97
hex13ac7aea0

5281132192 has 72 divisors (see below), whose sum is σ = 12169525536. Its totient is φ = 2249347968.

The previous prime is 5281132187. The next prime is 5281132271. The reversal of 5281132192 is 2912311825.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245253 + ... + 265915.

It is an arithmetic number, because the mean of its divisors is an integer number (169021188).

Almost surely, 25281132192 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 5281132192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6084762768).

5281132192 is an abundant number, since it is smaller than the sum of its proper divisors (6888393344).

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

5281132192 is a wasteful number, since it uses less digits than its factorization.

5281132192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20850 (or 20835 counting only the distinct ones).

The product of its digits is 8640, while the sum is 34.

The square root of 5281132192 is about 72671.3987205420. The cubic root of 5281132192 is about 1741.4419930886.

The spelling of 5281132192 in words is "five billion, two hundred eighty-one million, one hundred thirty-two thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 163 196 224 326 392 652 784 1141 1304 1568 2282 2608 4564 5216 7987 9128 15974 18256 20663 31948 36512 41326 63896 82652 127792 144641 165304 255584 289282 330608 578564 661216 1012487 1157128 2024974 2314256 3368069 4049948 4628512 6736138 8099896 13472276 16199792 23576483 26944552 32399584 47152966 53889104 94305932 107778208 165035381 188611864 330070762 377223728 660141524 754447456 1320283048 2640566096 5281132192