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15217442881 = 28124392
BaseRepresentation
bin11100010110000011…
…11100000001000001
31110021112022012020121
432023001330001001
5222131131133011
610554002340241
71046050062454
oct161301740101
943245265217
1015217442881
1164a9939083
122b4835a681
1315868cc894
14a4506749b
155e0e66e71
hex38b07c041

15217442881 has 9 divisors (see below), whose sum is σ = 15306657123. Its totient is φ = 15128747760.

The previous prime is 15217442879. The next prime is 15217442887. The reversal of 15217442881 is 18824471251.

The square root of 15217442881 is 123359.

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

It can be written as a sum of positive squares in only one way, i.e., 10283785281 + 4933657600 = 101409^2 + 70240^2 .

It is not a de Polignac number, because 15217442881 - 21 = 15217442879 is a prime.

It is a super-2 number, since 2×152174428812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15217442887) 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 8 ways as a sum of consecutive naturals, for example, 34663660 + ... + 34664098.

Almost surely, 215217442881 is an apocalyptic number.

15217442881 is the 123359-th square number.

15217442881 is the 61680-th centered octagonal number.

It is an amenable number.

15217442881 is a deficient number, since it is larger than the sum of its proper divisors (89214242).

15217442881 is an frugal number, since it uses more digits than its factorization.

15217442881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 720 counting only the distinct ones).

The product of its digits is 143360, while the sum is 43.

The spelling of 15217442881 in words is "fifteen billion, two hundred seventeen million, four hundred forty-two thousand, eight hundred eighty-one".

Divisors: 1 281 439 78961 123359 192721 34663879 54154601 15217442881