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649919506656 = 2537193113911813
BaseRepresentation
bin10010111010100100011…
…10001010100011100000
32022010120000012202000010
421131102032022203200
541122013343203111
61214322514324520
764645416441210
oct11352216124340
92263500182003
10649919506656
112306a1688822
12a5b60889740
1349396b26424
1423656020240
1511d8c612aa6
hex975238a8e0

649919506656 has 384 divisors, whose sum is σ = 2134005350400. Its totient is φ = 169004206080.

The previous prime is 649919506651. The next prime is 649919506697. The reversal of 649919506656 is 656605919946.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649919506651) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 55011406 + ... + 55023218.

It is an arithmetic number, because the mean of its divisors is an integer number (5557305600).

Almost surely, 2649919506656 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 649919506656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067002675200).

649919506656 is an abundant number, since it is smaller than the sum of its proper divisors (1484085843744).

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

649919506656 is a wasteful number, since it uses less digits than its factorization.

649919506656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12022 (or 12014 counting only the distinct ones).

The product of its (nonzero) digits is 94478400, while the sum is 66.

The spelling of 649919506656 in words is "six hundred forty-nine billion, nine hundred nineteen million, five hundred six thousand, six hundred fifty-six".