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11989210824 = 23321947186469
BaseRepresentation
bin10110010101001110…
…01101011011001000
31010221112211000101100
423022213031123020
5144023214221244
65301402221400
7603050416263
oct131247153310
933845730340
1011989210824
1150a26625a8
1223a71b4860
131190b579b6
1481a40dcda
154a283db69
hex2ca9cd6c8

11989210824 has 96 divisors (see below), whose sum is σ = 34907184000. Its totient is φ = 3705492096.

The previous prime is 11989210819. The next prime is 11989210837. The reversal of 11989210824 is 42801298911.

11989210824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11989210824.

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 23 ways as a sum of consecutive naturals, for example, 28939 + ... + 157530.

It is an arithmetic number, because the mean of its divisors is an integer number (363616500).

Almost surely, 211989210824 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 11989210824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17453592000).

11989210824 is an abundant number, since it is smaller than the sum of its proper divisors (22917973176).

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

11989210824 is a wasteful number, since it uses less digits than its factorization.

11989210824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186547 (or 186540 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 11989210824 in words is "eleven billion, nine hundred eighty-nine million, two hundred ten thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 47 57 72 76 94 114 141 152 171 188 228 282 342 376 423 456 564 684 846 893 1128 1368 1692 1786 2679 3384 3572 5358 7144 8037 10716 16074 21432 32148 64296 186469 372938 559407 745876 1118814 1491752 1678221 2237628 3356442 3542911 4475256 6712884 7085822 8764043 10628733 13425768 14171644 17528086 21257466 26292129 28343288 31886199 35056172 42514932 52584258 63772398 70112344 78876387 85029864 105168516 127544796 157752774 166516817 210337032 255089592 315505548 333033634 499550451 631011096 666067268 999100902 1332134536 1498651353 1998201804 2997302706 3996403608 5994605412 11989210824