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15328668481 = 722327692
BaseRepresentation
bin11100100011010100…
…01110101101000001
31110120021121001002021
432101222032231001
5222343114342411
611013014321441
71051600350400
oct162152165501
943507531067
1015328668481
1165566a7565
122b79659281
1315a3973a49
14a55b3b637
155eaad7a71
hex391a8eb41

15328668481 has 27 divisors (see below), whose sum is σ = 18664561251. Its totient is φ = 12551261184.

The previous prime is 15328668461. The next prime is 15328668491. The reversal of 15328668481 is 18486682351.

It is a happy number.

The square root of 15328668481 is 123809.

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., 5997108481 + 9331560000 = 77441^2 + 96600^2 .

It is not a de Polignac number, because 15328668481 - 25 = 15328668449 is a prime.

It is a super-2 number, since 2×153286684812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (15328668451) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19932865 + ... + 19933633.

Almost surely, 215328668481 is an apocalyptic number.

15328668481 is the 123809-th square number.

15328668481 is the 61905-th centered octagonal number.

It is an amenable number.

15328668481 is a deficient number, since it is larger than the sum of its proper divisors (3335892770).

15328668481 is an frugal number, since it uses more digits than its factorization.

15328668481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 799 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 52.

The spelling of 15328668481 in words is "fifteen billion, three hundred twenty-eight million, six hundred sixty-eight thousand, four hundred eighty-one".

Divisors: 1 7 23 49 161 529 769 1127 3703 5383 17687 25921 37681 123809 406801 591361 866663 2847607 4139527 13601303 19933249 28976689 95209121 312829969 666463847 2189809783 15328668481