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11868496332 = 22371125435051
BaseRepresentation
bin10110000110110101…
…01110000111001100
31010122010200002020020
423003122232013030
5143301313340312
65241411022140
7600053361060
oct130332560714
933563602206
1011868496332
115040502a60
12237289a950
131171b407c4
14808389aa0
15496e4678c
hex2c36ae1cc

11868496332 has 96 divisors (see below), whose sum is σ = 34546950144. Its totient is φ = 3080904000.

The previous prime is 11868496291. The next prime is 11868496369. The reversal of 11868496332 is 23369486811.

11868496332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×118684963322 (a number of 21 digits) contains 22 as substring.

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, 2347207 + ... + 2352257.

It is an arithmetic number, because the mean of its divisors is an integer number (359864064).

Almost surely, 211868496332 is an apocalyptic number.

11868496332 is a gapful number since it is divisible by the number (12) 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 11868496332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17273475072).

11868496332 is an abundant number, since it is smaller than the sum of its proper divisors (22678453812).

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

11868496332 is a wasteful number, since it uses less digits than its factorization.

11868496332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7619 (or 7617 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The spelling of 11868496332 in words is "eleven billion, eight hundred sixty-eight million, four hundred ninety-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 2543 5051 5086 7629 10102 10172 15153 15258 17801 20204 27973 30306 30516 35357 35602 53403 55561 55946 60612 70714 71204 83919 106071 106806 111122 111892 141428 166683 167838 195811 212142 213612 222244 333366 335676 388927 391622 424284 587433 666732 777854 783244 1166781 1174866 1555708 2333562 2349732 4667124 12844693 25689386 38534079 51378772 77068158 89912851 141291623 154136316 179825702 269738553 282583246 359651404 423874869 539477106 565166492 847749738 989041361 1078954212 1695499476 1978082722 2967124083 3956165444 5934248166 11868496332