Search a number
-
+
6625308816 = 243472172192
BaseRepresentation
bin1100010101110011…
…00011000010010000
3122002201200120010000
412022321203002100
5102032034340231
63013231210000
7323116124100
oct61271430220
918081616100
106625308816
11289a8a5635
12134a976900
138177b6299
1446bca3200
1528b9a46e6
hex18ae63090

6625308816 has 675 divisors, whose sum is σ = 25008363369. Its totient is φ = 1687827456.

The previous prime is 6625308779. The next prime is 6625308853. The reversal of 6625308816 is 6188035266.

The square root of 6625308816 is 81396.

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

6625308816 is a `hidden beast` number, since 6 + 625 + 3 + 0 + 8 + 8 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (6625308779) and next prime (6625308853).

It can be written as a sum of positive squares in only one way, i.e., 5158112400 + 1467196416 = 71820^2 + 38304^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 348700455 + ... + 348700473.

Almost surely, 26625308816 is an apocalyptic number.

6625308816 is the 81396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6625308816

6625308816 is an abundant number, since it is smaller than the sum of its proper divisors (18383054553).

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

6625308816 is a wasteful number, since it uses less digits than its factorization.

6625308816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The cubic root of 6625308816 is about 1878.1720590758.

The spelling of 6625308816 in words is "six billion, six hundred twenty-five million, three hundred eight thousand, eight hundred sixteen".