Search a number
-
+
9943446493680 = 24357223180114737
BaseRepresentation
bin1001000010110010001110…
…0110001001100111110000
31022012120202212211110121020
42100230203212021213300
52300403134300244210
633051542315055440
72044250605436160
oct220544346114760
938176685743536
109943446493680
113193aa0358747
121147134141580
1357188075260b
142653a02aa5a0
151239ba07d770
hex90b239899f0

9943446493680 has 320 divisors, whose sum is σ = 35408235061248. Its totient is φ = 2261186150400.

The previous prime is 9943446493667. The next prime is 9943446493819. The reversal of 9943446493680 is 863946443499.

It is a congruent number.

It is an unprimeable number.

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, 674719272 + ... + 674734008.

Almost surely, 29943446493680 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 9943446493680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17704117530624).

9943446493680 is an abundant number, since it is smaller than the sum of its proper divisors (25464788567568).

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

9943446493680 is a wasteful number, since it uses less digits than its factorization.

9943446493680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16784 (or 16778 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 69.

The spelling of 9943446493680 in words is "nine trillion, nine hundred forty-three billion, four hundred forty-six million, four hundred ninety-three thousand, six hundred eighty".