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64412326000 = 2453116789491
BaseRepresentation
bin111011111111010001…
…100001100001110000
320011021000011012010201
4323333101201201300
52023404023413000
645331323404544
74440124510621
oct737721414160
9204230135121
1064412326000
1125354095980
1210597683754
1360c6917689
143190899a48
151a1ecc396a
hexeff461870

64412326000 has 320 divisors, whose sum is σ = 174736673280. Its totient is φ = 22767360000.

The previous prime is 64412325959. The next prime is 64412326003. The reversal of 64412326000 is 62321446.

It is a self number, because there is not a number n which added to its sum of digits gives 64412326000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64412326003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131185755 + ... + 131186245.

It is an arithmetic number, because the mean of its divisors is an integer number (546052104).

Almost surely, 264412326000 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 64412326000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87368336640).

64412326000 is an abundant number, since it is smaller than the sum of its proper divisors (110324347280).

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

64412326000 is a wasteful number, since it uses less digits than its factorization.

64412326000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 64412326000 its reverse (62321446), we get a palindrome (64474647446).

The spelling of 64412326000 in words is "sixty-four billion, four hundred twelve million, three hundred twenty-six thousand".