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988805505769 = 312320772
BaseRepresentation
bin11100110001110010110…
…01101010001011101001
310111112021120000012022121
432120321121222023221
5112200033202141034
62034130113351241
7131303344056424
oct16307131521351
93445246005277
10988805505769
11351393a25774
1213b778b68521
1372322c93c63
1435c037c89bb
151aac3aa91b4
hexe63966a2e9

988805505769 has 9 divisors (see below), whose sum is σ = 1021763244951. Its totient is φ = 956878722360.

The previous prime is 988805505749. The next prime is 988805505803. The reversal of 988805505769 is 967505508889.

The square root of 988805505769 is 994387.

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., 984371544025 + 4433961744 = 992155^2 + 66588^2 .

It is not a de Polignac number, because 988805505769 - 227 = 988671288041 is a prime.

It is a super-2 number, since 2×9888055057692 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 988805505698 and 988805505707.

It is not an unprimeable number, because it can be changed into a prime (988805505719) 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, 30809959 + ... + 30842035.

It is an arithmetic number, because the mean of its divisors is an integer number (113529249439).

Almost surely, 2988805505769 is an apocalyptic number.

988805505769 is the 994387-th square number.

988805505769 is the 497194-th centered octagonal number.

It is an amenable number.

988805505769 is a deficient number, since it is larger than the sum of its proper divisors (32957739182).

988805505769 is an frugal number, since it uses more digits than its factorization.

988805505769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64216 (or 32108 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 70.

The spelling of 988805505769 in words is "nine hundred eighty-eight billion, eight hundred five million, five hundred five thousand, seven hundred sixty-nine".

Divisors: 1 31 961 32077 994387 30825997 1028933929 31896951799 988805505769