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30428964721 = 19291812
BaseRepresentation
bin11100010101101101…
…010010011101110001
32220112122110120100101
4130111231102131301
5444304303332341
621551234152401
72125025634601
oct342555223561
986478416311
1030428964721
11119a53a2631
125a92722701
132b3c20838c
1416893ccc01
15bd160e831
hex715b52771

30428964721 has 9 divisors (see below), whose sum is σ = 32118278283. Its totient is φ = 28824300360.

The previous prime is 30428964719. The next prime is 30428964767. The reversal of 30428964721 is 12746982403.

It is a happy number.

The square root of 30428964721 is 174439.

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., 19666977121 + 10761987600 = 140239^2 + 103740^2 .

It is not a de Polignac number, because 30428964721 - 21 = 30428964719 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30428964121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3309751 + ... + 3318931.

It is an arithmetic number, because the mean of its divisors is an integer number (3568697587).

Almost surely, 230428964721 is an apocalyptic number.

30428964721 is the 174439-th square number.

30428964721 is the 87220-th centered octagonal number.

It is an amenable number.

30428964721 is a deficient number, since it is larger than the sum of its proper divisors (1689313562).

30428964721 is an frugal number, since it uses more digits than its factorization.

30428964721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18400 (or 9200 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 30428964721 in words is "thirty billion, four hundred twenty-eight million, nine hundred sixty-four thousand, seven hundred twenty-one".

Divisors: 1 19 361 9181 174439 3314341 84290761 1601524459 30428964721