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880964328409 = 11477572
BaseRepresentation
bin11001101000111011001…
…00001101101111011001
310010012220220210202212121
430310131210031233121
5103413203332002114
61512413122541241
7120435055144504
oct14643544155731
93105826722777
10880964328409
1130a684440000
121228a1207821
13650c7b0bcc9
14308d320413b
1517db1297a24
hexcd1d90dbd9

880964328409 has 15 divisors (see below), whose sum is σ = 969179686735. Its totient is φ = 800773416520.

The previous prime is 880964328389. The next prime is 880964328421. The reversal of 880964328409 is 904823469088.

The square root of 880964328409 is 938597.

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., 724601025225 + 156363303184 = 851235^2 + 395428^2 .

It is not a de Polignac number, because 880964328409 - 215 = 880964295641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (880964328709) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 113566359 + ... + 113574115.

Almost surely, 2880964328409 is an apocalyptic number.

880964328409 is the 938597-th square number.

880964328409 is the 469299-th centered octagonal number.

It is an amenable number.

880964328409 is a deficient number, since it is larger than the sum of its proper divisors (88215358326).

880964328409 is an frugal number, since it uses more digits than its factorization.

880964328409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15558 (or 7768 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 61.

The spelling of 880964328409 in words is "eight hundred eighty billion, nine hundred sixty-four million, three hundred twenty-eight thousand, four hundred nine".

Divisors: 1 11 121 1331 7757 14641 85327 938597 10324567 60171049 113570237 661881539 7280696929 80087666219 880964328409