Search a number
-
+
11111209984 = 21078917417
BaseRepresentation
bin10100101100100011…
…11001110000000000
31001200100200221122201
422112101321300000
5140223432204414
65034315442544
7542226504130
oct122621716000
931610627581
1011111209984
114791a96576
1221a1156454
131080c94684
1477597cac0
1545070a574
hex296479c00

11111209984 has 88 divisors (see below), whose sum is σ = 25671345120. Its totient is φ = 4708171776.

The previous prime is 11111209939. The next prime is 11111210003. The reversal of 11111209984 is 48990211111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 629244 + ... + 646660.

Almost surely, 211111209984 is an apocalyptic number.

11111209984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111209984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12835672560).

11111209984 is an abundant number, since it is smaller than the sum of its proper divisors (14560135136).

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

11111209984 is an equidigital number, since it uses as much as digits as its factorization.

11111209984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17533 (or 17515 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 37.

The spelling of 11111209984 in words is "eleven billion, one hundred eleven million, two hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 128 178 224 256 356 448 512 623 712 896 1024 1246 1424 1792 2492 2848 3584 4984 5696 7168 9968 11392 17417 19936 22784 34834 39872 45568 69668 79744 91136 121919 139336 159488 243838 278672 318976 487676 557344 637952 975352 1114688 1550113 1950704 2229376 3100226 3901408 4458752 6200452 7802816 8917504 10850791 12400904 15605632 17835008 21701582 24801808 31211264 43403164 49603616 62422528 86806328 99207232 124845056 173612656 198414464 347225312 396828928 694450624 793657856 1388901248 1587315712 2777802496 5555604992 11111209984