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15674038416 = 2432104332
BaseRepresentation
bin11101001100011111…
…01101100010010000
31111110100110122120100
432212033231202100
5224100023212131
611111153012400
71063263062001
oct164617554220
944410418510
1015674038416
11671364a063
123055254100
13162a39865a
14a899611a8
1561b0a97e6
hex3a63ed890

15674038416 has 45 divisors (see below), whose sum is σ = 43869742969. Its totient is φ = 5224178688.

The previous prime is 15674038409. The next prime is 15674038417. The reversal of 15674038416 is 61483047651.

The square root of 15674038416 is 125196.

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

15674038416 is a `hidden beast` number, since 1 + 567 + 4 + 0 + 3 + 84 + 1 + 6 = 666.

15674038416 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., 10124384400 + 5549654016 = 100620^2 + 74496^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15674038417) 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, 1497136 + ... + 1507568.

Almost surely, 215674038416 is an apocalyptic number.

15674038416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

15674038416 is the 125196-th square number.

It is an amenable number.

15674038416 is an abundant number, since it is smaller than the sum of its proper divisors (28195704553).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15674038416 is an frugal number, since it uses more digits than its factorization.

15674038416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20880 (or 10438 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 15674038416 in words is "fifteen billion, six hundred seventy-four million, thirty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 10433 20866 31299 41732 62598 83464 93897 125196 166928 187794 250392 375588 500784 751176 1502352 108847489 217694978 326542467 435389956 653084934 870779912 979627401 1306169868 1741559824 1959254802 2612339736 3918509604 5224679472 7837019208 15674038416