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9994788420 = 22354313728277
BaseRepresentation
bin10010100111011110…
…00101111001000100
3221210112221212011220
421103233011321010
5130432131212140
64331435000340
7502452204561
oct112357057104
927715855156
109994788420
114269885521
121b2b2990b0
13c338b42b6
146ab5a7868
153d76cdbd0
hex253bc5e44

9994788420 has 96 divisors (see below), whose sum is σ = 28846274688. Its totient is φ = 2584200192.

The previous prime is 9994788403. The next prime is 9994788457. The reversal of 9994788420 is 248874999.

9994788420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

9994788420 is a nontrivial binomial coefficient, being equal to C(141385, 2).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 339322 + ... + 367598.

It is an arithmetic number, because the mean of its divisors is an integer number (300482028).

Almost surely, 29994788420 is an apocalyptic number.

9994788420 is the 141384-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9994788420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14423137344).

9994788420 is an abundant number, since it is smaller than the sum of its proper divisors (18851486268).

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

9994788420 is a wasteful number, since it uses less digits than its factorization.

9994788420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28469 (or 28467 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The square root of 9994788420 is about 99973.9387040443. The cubic root of 9994788420 is about 2154.0603580376.

The spelling of 9994788420 in words is "nine billion, nine hundred ninety-four million, seven hundred eighty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 137 172 215 258 274 411 430 516 548 645 685 822 860 1290 1370 1644 2055 2580 2740 4110 5891 8220 11782 17673 23564 28277 29455 35346 56554 58910 70692 84831 88365 113108 117820 141385 169662 176730 282770 339324 353460 424155 565540 848310 1215911 1696620 2431822 3647733 3873949 4863644 6079555 7295466 7747898 11621847 12159110 14590932 15495796 18238665 19369745 23243694 24318220 36477330 38739490 46487388 58109235 72954660 77478980 116218470 166579807 232436940 333159614 499739421 666319228 832899035 999478842 1665798070 1998957684 2498697105 3331596140 4997394210 9994788420