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960042870648 = 2332233114574079
BaseRepresentation
bin11011111100001110000…
…00111010011101111000
310101210001001000221110100
431332013000322131320
5111212131433330043
62013012042315400
7126234520520361
oct15760700723570
93353031027410
10960042870648
11340174199244
121360904b8b60
136c6bb076634
1434675838b68
1519e8d8ebcd3
hexdf8703a778

960042870648 has 192 divisors, whose sum is σ = 2728513382400. Its totient is φ = 304374090240.

The previous prime is 960042870613. The next prime is 960042870649. The reversal of 960042870648 is 846078240069.

960042870648 is a `hidden beast` number, since 9 + 600 + 4 + 28 + 7 + 0 + 6 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 960042870594 and 960042870603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960042870649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235360273 + ... + 235364351.

It is an arithmetic number, because the mean of its divisors is an integer number (14211007200).

Almost surely, 2960042870648 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 960042870648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364256691200).

960042870648 is an abundant number, since it is smaller than the sum of its proper divisors (1768470511752).

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

960042870648 is a wasteful number, since it uses less digits than its factorization.

960042870648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4882 (or 4875 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 960042870648 in words is "nine hundred sixty billion, forty-two million, eight hundred seventy thousand, six hundred forty-eight".