Search a number
-
+
7706907648 = 21034118447
BaseRepresentation
bin1110010110101111…
…00001010000000000
3201220002220110210000
413023113201100000
5111240432021043
63312425440000
7361661430336
oct71327412000
921802813700
107706907648
1132a5391870
1215b1040000
1395a8c34ab
145317b1b56
153019032d3
hex1cb5e1400

7706907648 has 220 divisors, whose sum is σ = 25109517312. Its totient is φ = 2335150080.

The previous prime is 7706907631. The next prime is 7706907671. The reversal of 7706907648 is 8467096077.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7706907594 and 7706907603.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 908161 + ... + 916607.

Almost surely, 27706907648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7706907648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12554758656).

7706907648 is an abundant number, since it is smaller than the sum of its proper divisors (17402609664).

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

7706907648 is a wasteful number, since it uses less digits than its factorization.

7706907648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8490 (or 8463 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 7706907648 is about 87788.9950278507. The cubic root of 7706907648 is about 1975.2711392315.

The spelling of 7706907648 in words is "seven billion, seven hundred six million, nine hundred seven thousand, six hundred forty-eight".