Search a number
-
+
1002108228336 = 24334794842787
BaseRepresentation
bin11101001010100100100…
…11100001001011110000
310112210121122102112002000
432211102103201023300
5112404304201301321
62044210121054000
7132254114253225
oct16452223411360
93483548375060
101002108228336
11356a9aa74066
12142270027300
1373662ca7a27
143670643594c
151b1018a6826
hexe9524e12f0

1002108228336 has 80 divisors (see below), whose sum is σ = 2882427417600. Its totient is φ = 333338645952.

The previous prime is 1002108228307. The next prime is 1002108228353. The reversal of 1002108228336 is 6338228012001.

1002108228336 is a `hidden beast` number, since 10 + 0 + 210 + 82 + 28 + 336 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1002108228336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2214466 + ... + 2628321.

It is an arithmetic number, because the mean of its divisors is an integer number (36030342720).

Almost surely, 21002108228336 is an apocalyptic number.

1002108228336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1002108228336 is an abundant number, since it is smaller than the sum of its proper divisors (1880319189264).

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

1002108228336 is a wasteful number, since it uses less digits than its factorization.

1002108228336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4843283 (or 4843271 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1002108228336 in words is "one trillion, two billion, one hundred eight million, two hundred twenty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 479 958 1437 1916 2874 3832 4311 5748 7664 8622 11496 12933 17244 22992 25866 34488 51732 68976 103464 206928 4842787 9685574 14528361 19371148 29056722 38742296 43585083 58113444 77484592 87170166 116226888 130755249 174340332 232453776 261510498 348680664 523020996 697361328 1046041992 2092083984 2319694973 4639389946 6959084919 9278779892 13918169838 18557559784 20877254757 27836339676 37115119568 41754509514 55672679352 62631764271 83509019028 111345358704 125263528542 167018038056 250527057084 334036076112 501054114168 1002108228336