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649993459968 = 283223431092617
BaseRepresentation
bin10010111010101101010…
…00010001100100000000
32022010202011100221212200
421131112220101210000
541122141311204333
61214334115353200
764650305151426
oct11352650214400
92263664327780
10649993459968
1123072a3a9a66
12a5b815b2800
13493a924a498
1423661b91116
1511d93d6ec13
hex9756a11900

649993459968 has 432 divisors, whose sum is σ = 2020182003840. Its totient is φ = 200490909696.

The previous prime is 649993459963. The next prime is 649993460003. The reversal of 649993459968 is 869954399946.

649993459968 is a `hidden beast` number, since 6 + 49 + 99 + 345 + 99 + 68 = 666.

It is a super-2 number, since 2×6499934599682 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (649993459961) 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, 248372196 + ... + 248374812.

Almost surely, 2649993459968 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 649993459968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010091001920).

649993459968 is an abundant number, since it is smaller than the sum of its proper divisors (1370188543872).

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

649993459968 is a wasteful number, since it uses less digits than its factorization.

649993459968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2797 counting only the distinct ones).

The product of its digits is 4081466880, while the sum is 81.

The spelling of 649993459968 in words is "six hundred forty-nine billion, nine hundred ninety-three million, four hundred fifty-nine thousand, nine hundred sixty-eight".