Search a number
-
+
646980373248 = 28311198348563
BaseRepresentation
bin10010110101000110000…
…10010000101100000000
32021211222011201021221020
421122203002100230000
541100003433420443
61213115122425440
764512530302146
oct11324302205400
92254864637836
10646980373248
1122a423610350
12a5480502280
1349018c33431
142345793d596
1511c69593583
hex96a3090b00

646980373248 has 288 divisors, whose sum is σ = 2001178690560. Its totient is φ = 183494430720.

The previous prime is 646980373243. The next prime is 646980373261. The reversal of 646980373248 is 842373089646.

646980373248 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 646980373191 and 646980373200.

It is not an unprimeable number, because it can be changed into a prime (646980373243) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13298215 + ... + 13346777.

It is an arithmetic number, because the mean of its divisors is an integer number (6948537120).

Almost surely, 2646980373248 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 646980373248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000589345280).

646980373248 is an abundant number, since it is smaller than the sum of its proper divisors (1354198317312).

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

646980373248 is a wasteful number, since it uses less digits than its factorization.

646980373248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48695 (or 48681 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 60.

The spelling of 646980373248 in words is "six hundred forty-six billion, nine hundred eighty million, three hundred seventy-three thousand, two hundred forty-eight".