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21445124364 = 223219531015857
BaseRepresentation
bin10011111110001110…
…101010000100001100
32001100112210012012100
4103332032222010030
5322404422434424
613503551235100
71356300356316
oct237616520414
961315705170
1021445124364
119105239384
1241a5b18a90
132039bc5501
1410761c27b6
15857a75dc9
hex4fe3aa10c

21445124364 has 144 divisors (see below), whose sum is σ = 58723872480. Its totient is φ = 6577459200.

The previous prime is 21445124347. The next prime is 21445124377. The reversal of 21445124364 is 46342154412.

21445124364 is a `hidden beast` number, since 2 + 1 + 44 + 512 + 43 + 64 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 3658524 + ... + 3664380.

It is an arithmetic number, because the mean of its divisors is an integer number (407804670).

Almost surely, 221445124364 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 21445124364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29361936240).

21445124364 is an abundant number, since it is smaller than the sum of its proper divisors (37278748116).

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

21445124364 is a wasteful number, since it uses less digits than its factorization.

21445124364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6040 (or 6035 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 21445124364 its reverse (46342154412), we get a palindrome (67787278776).

The spelling of 21445124364 in words is "twenty-one billion, four hundred forty-five million, one hundred twenty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 53 57 76 101 106 114 159 171 202 212 228 303 318 342 404 477 606 636 684 909 954 1007 1212 1818 1908 1919 2014 3021 3636 3838 4028 5353 5757 5857 6042 7676 9063 10706 11514 11714 12084 16059 17271 17571 18126 21412 23028 23428 32118 34542 35142 36252 48177 52713 64236 69084 70284 96354 101707 105426 111283 192708 203414 210852 222566 305121 310421 333849 406828 445132 591557 610242 620842 667698 915363 931263 1001547 1183114 1220484 1241684 1335396 1774671 1830726 1862526 2003094 2366228 2793789 3549342 3661452 3725052 4006188 5324013 5587578 5897999 7098684 10648026 11175156 11239583 11795998 17693997 21296052 22479166 23591996 31352521 33718749 35387994 44958332 53081991 62705042 67437498 70775988 94057563 101156247 106163982 125410084 134874996 188115126 202312494 212327964 282172689 376230252 404624988 564345378 595697899 1128690756 1191395798 1787093697 2382791596 3574187394 5361281091 7148374788 10722562182 21445124364