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5065453584 = 24366592
BaseRepresentation
bin1001011011110110…
…01011000000010000
3111002000112201000000
410231323023000100
540333224003314
62154350130000
7236345434152
oct45573130020
914060481000
105065453584
11216a353284
12b944b0900
13629597c19
14360a5cad2
151e9a85209
hex12decb010

5065453584 has 105 divisors (see below), whose sum is σ = 14737105903. Its totient is φ = 1685922336.

The previous prime is 5065453571. The next prime is 5065453597. The reversal of 5065453584 is 4853545605.

The square root of 5065453584 is 71172.

It is a perfect power (a square), and thus also a powerful number.

5065453584 is a `hidden beast` number, since 5 + 0 + 65 + 4 + 5 + 3 + 584 = 666.

It is an interprime number because it is at equal distance from previous prime (5065453571) and next prime (5065453597).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 7686247 + ... + 7686905.

Almost surely, 25065453584 is an apocalyptic number.

5065453584 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5065453584 is the 71172-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5065453584

5065453584 is an abundant number, since it is smaller than the sum of its proper divisors (9671652319).

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

5065453584 is an frugal number, since it uses more digits than its factorization.

5065453584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The cubic root of 5065453584 is about 1717.4052257918.

The spelling of 5065453584 in words is "five billion, sixty-five million, four hundred fifty-three thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 659 729 972 1296 1318 1458 1944 1977 2636 2916 3888 3954 5272 5832 5931 7908 10544 11664 11862 15816 17793 23724 31632 35586 47448 53379 71172 94896 106758 142344 160137 213516 284688 320274 427032 434281 480411 640548 854064 868562 960822 1281096 1302843 1737124 1921644 2562192 2605686 3474248 3843288 3908529 5211372 6948496 7686576 7817058 10422744 11725587 15634116 20845488 23451174 31268232 35176761 46902348 62536464 70353522 93804696 105530283 140707044 187609392 211060566 281414088 316590849 422121132 562828176 633181698 844242264 1266363396 1688484528 2532726792 5065453584