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15128016016 = 249723172
BaseRepresentation
bin11100001011011001…
…10011010010010000
31110001022000211122111
432011230303102100
5221440233003031
610541045515104
71043613004651
oct160554632220
943038024574
1015128016016
116463409383
122b22412a94
13157121b789
14a37229528
155d81a01b1
hex385b33490

15128016016 has 45 divisors (see below), whose sum is σ = 29709536619. Its totient is φ = 7462413312.

The previous prime is 15128015983. The next prime is 15128016017. The reversal of 15128016016 is 61061082151.

The square root of 15128016016 is 122996.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4789193616 + 10338822400 = 69204^2 + 101680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15128016017) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 47722290 + ... + 47722606.

Almost surely, 215128016016 is an apocalyptic number.

15128016016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

15128016016 is the 122996-th square number.

It is an amenable number.

15128016016 is a deficient number, since it is larger than the sum of its proper divisors (14581520603).

15128016016 is an frugal number, since it uses more digits than its factorization.

15128016016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

Adding to 15128016016 its reverse (61061082151), we get a palindrome (76189098167).

The spelling of 15128016016 in words is "fifteen billion, one hundred twenty-eight million, sixteen thousand, sixteen".

Divisors: 1 2 4 8 16 97 194 317 388 634 776 1268 1552 2536 5072 9409 18818 30749 37636 61498 75272 100489 122996 150544 200978 245992 401956 491984 803912 1607824 2982653 5965306 9747433 11930612 19494866 23861224 38989732 47722448 77979464 155958928 945501001 1891002002 3782004004 7564008008 15128016016