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15830420761 = 47226772
BaseRepresentation
bin11101011111001000…
…10000110100011001
31111212020201200211001
432233210100310121
5224410041431021
611134500505001
71100202233131
oct165744206431
944766650731
1015830420761
116793950471
1230996ab161
1316538c059c
14aa262bac1
15629b9a091
hex3af910d19

15830420761 has 9 divisors (see below), whose sum is σ = 16180448799. Its totient is φ = 15487815624.

The previous prime is 15830420731. The next prime is 15830420843. The reversal of 15830420761 is 16702403851.

The square root of 15830420761 is 125819.

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

15830420761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 294294025 + 15536126736 = 17155^2 + 124644^2 .

It is not a de Polignac number, because 15830420761 - 223 = 15822032153 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 15830420761.

It is not an unprimeable number, because it can be changed into a prime (15830420731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5912155 + ... + 5914831.

Almost surely, 215830420761 is an apocalyptic number.

15830420761 is the 125819-th square number.

15830420761 is the 62910-th centered octagonal number.

It is an amenable number.

15830420761 is a deficient number, since it is larger than the sum of its proper divisors (350028038).

15830420761 is an frugal number, since it uses more digits than its factorization.

15830420761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5448 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 15830420761 in words is "fifteen billion, eight hundred thirty million, four hundred twenty thousand, seven hundred sixty-one".

Divisors: 1 47 2209 2677 125819 5913493 7166329 336817463 15830420761