Search a number
-
+
648863992896 = 26372235775197
BaseRepresentation
bin10010111000100110100…
…11101100110001000000
32022000211110002002022220
421130103103230301000
541112333140233041
61214030051131040
764610311636500
oct11342323546100
92260743062286
10648863992896
112301aa8986a9
12a59072a3a80
1349259250282
1423595b81a00
1511d29b17d66
hex97134ecc40

648863992896 has 336 divisors, whose sum is σ = 2087920331136. Its totient is φ = 176987897856.

The previous prime is 648863992879. The next prime is 648863992967. The reversal of 648863992896 is 698299368846.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 124850970 + ... + 124856166.

Almost surely, 2648863992896 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 648863992896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043960165568).

648863992896 is an abundant number, since it is smaller than the sum of its proper divisors (1439056338240).

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

648863992896 is a wasteful number, since it uses less digits than its factorization.

648863992896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5826 (or 5809 counting only the distinct ones).

The product of its digits is 1934917632, while the sum is 78.

The spelling of 648863992896 in words is "six hundred forty-eight billion, eight hundred sixty-three million, nine hundred ninety-two thousand, eight hundred ninety-six".