Search a number
-
+
648122068656 = 2432171947296479
BaseRepresentation
bin10010110111001110001…
…01011110111010110000
32021221220202000102121100
421123213011132322300
541104323222144111
61213424305124400
764553032454166
oct11334705367260
92257822012540
10648122068656
1122a95a013a77
12a573a929700
134916b62254a
1423525413236
1511cd4913756
hex96e715eeb0

648122068656 has 240 divisors, whose sum is σ = 2064639283200. Its totient is φ = 188531546112.

The previous prime is 648122068597. The next prime is 648122068663. The reversal of 648122068656 is 656860221846.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2037825 + ... + 2334303.

It is an arithmetic number, because the mean of its divisors is an integer number (8602663680).

Almost surely, 2648122068656 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 648122068656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032319641600).

648122068656 is an abundant number, since it is smaller than the sum of its proper divisors (1416517214544).

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

648122068656 is a wasteful number, since it uses less digits than its factorization.

648122068656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296576 (or 296567 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 648122068656 in words is "six hundred forty-eight billion, one hundred twenty-two million, sixty-eight thousand, six hundred fifty-six".