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5110512512 = 27797127463
BaseRepresentation
bin1001100001001110…
…00011101110000000
3111012011022221020012
410300213003232000
540431242400022
62203040004052
7240433432250
oct46047035600
914164287205
105110512512
112192829766
12ba7600628
13635a13301
14366a2b960
151ed9d5de2
hex1309c3b80

5110512512 has 128 divisors (see below), whose sum is σ = 11873648640. Its totient is φ = 2145927168.

The previous prime is 5110512509. The next prime is 5110512541. The reversal of 5110512512 is 2152150115.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×51105125122 = 52234676270617100288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11037593 + ... + 11038055.

It is an arithmetic number, because the mean of its divisors is an integer number (92762880).

Almost surely, 25110512512 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 5110512512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5936824320).

5110512512 is an abundant number, since it is smaller than the sum of its proper divisors (6763136128).

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

5110512512 is a wasteful number, since it uses less digits than its factorization.

5110512512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 23.

The square root of 5110512512 is about 71487.8487017199. The cubic root of 5110512512 is about 1722.4825014179.

Adding to 5110512512 its reverse (2152150115), we get a palindrome (7262662627).

The spelling of 5110512512 in words is "five billion, one hundred ten million, five hundred twelve thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 127 128 194 224 254 388 448 463 508 679 776 889 896 926 1016 1358 1552 1778 1852 2032 2716 3104 3241 3556 3704 4064 5432 6208 6482 7112 7408 8128 10864 12319 12416 12964 14224 14816 16256 21728 24638 25928 28448 29632 43456 44911 49276 51856 56896 58801 59264 86233 86912 89822 98552 103712 113792 117602 172466 179644 197104 207424 235204 314377 344932 359288 394208 411607 414848 470408 628754 689864 718576 788416 823214 940816 1257508 1379728 1437152 1576832 1646428 1881632 2515016 2759456 2874304 3292856 3763264 5030032 5518912 5703697 5748608 6585712 7526528 10060064 11037824 11407394 13171424 20120128 22814788 26342848 39925879 40240256 45629576 52685696 79851758 91259152 159703516 182518304 319407032 365036608 638814064 730073216 1277628128 2555256256 5110512512