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5206208128 = 27113697591
BaseRepresentation
bin1001101100101000…
…00110111010000000
3111102211101202221021
410312110012322000
541130242130003
62220335035224
7243005016232
oct46624067200
914384352837
105206208128
112231850250
12101366bb14
1364c7aa834
1437561c252
152070da2bd
hex136506e80

5206208128 has 32 divisors (see below), whose sum is σ = 11314631520. Its totient is φ = 2366457600.

The previous prime is 5206208123. The next prime is 5206208131. The reversal of 5206208128 is 8218026025.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×52062081283 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5206208093 and 5206208102.

It is not an unprimeable number, because it can be changed into a prime (5206208123) 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 3 ways as a sum of consecutive naturals, for example, 1847388 + ... + 1850203.

It is an arithmetic number, because the mean of its divisors is an integer number (353582235).

Almost surely, 25206208128 is an apocalyptic number.

It is an amenable number.

5206208128 is an abundant number, since it is smaller than the sum of its proper divisors (6108423392).

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

5206208128 is a wasteful number, since it uses less digits than its factorization.

5206208128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697616 (or 3697604 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 5206208128 is about 72154.0582919630. The cubic root of 5206208128 is about 1733.1673881896.

The spelling of 5206208128 in words is "five billion, two hundred six million, two hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 3697591 7395182 14790364 29580728 40673501 59161456 81347002 118322912 162694004 236645824 325388008 473291648 650776016 1301552032 2603104064 5206208128