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11452212161244 = 2235151216136107
BaseRepresentation
bin1010011010100110110100…
…0010011010101011011100
31111112211011100121122200000
42212221231002122223130
53000113112303124434
640205023523334300
72261252331136641
oct246515502325334
944484140548600
1011452212161244
11371594622a898
12134b622821390
13650c28c00c5a
142b840bb8ddc8
1514cd71c67b99
hexa6a6d09aadc

11452212161244 has 144 divisors (see below), whose sum is σ = 30234454338816. Its totient is φ = 3790263456000.

The previous prime is 11452212161141. The next prime is 11452212161251. The reversal of 11452212161244 is 44216121225411.

It is a happy number.

11452212161244 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 22 + 12 + 1 + 612 + 4 + 4 = 666.

11452212161244 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 2×114522121612442 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11452212161199 and 11452212161208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317156239 + ... + 317192345.

It is an arithmetic number, because the mean of its divisors is an integer number (209961488464).

Almost surely, 211452212161244 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 11452212161244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15117227169408).

11452212161244 is an abundant number, since it is smaller than the sum of its proper divisors (18782242177572).

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

11452212161244 is a wasteful number, since it uses less digits than its factorization.

11452212161244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38438 (or 38424 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

Adding to 11452212161244 its reverse (44216121225411), we get a palindrome (55668333386655).

The spelling of 11452212161244 in words is "eleven trillion, four hundred fifty-two billion, two hundred twelve million, one hundred sixty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 151 162 243 302 324 453 486 604 906 972 1359 1812 2161 2718 4077 4322 5436 6483 8154 8644 12231 12966 16308 19449 24462 25932 36107 36693 38898 48924 58347 72214 73386 77796 108321 116694 144428 146772 175041 216642 233388 324963 326311 350082 433284 525123 649926 652622 700164 974889 978933 1050246 1299852 1305244 1949778 1957866 2100492 2924667 2936799 3899556 3915732 5452157 5849334 5873598 8774001 8810397 10904314 11698668 11747196 16356471 17548002 17620794 21808628 26431191 32712942 35096004 35241588 49069413 52862382 65425884 78027227 79293573 98138826 105724764 147208239 156054454 158587146 196277652 234081681 294416478 312108908 317174292 441624717 468163362 588832956 702245043 883249434 936326724 1324874151 1404490086 1766498868 2106735129 2649748302 2808980172 4213470258 5299496604 6320205387 8426940516 11782111277 12640410774 18960616161 23564222554 25280821548 35346333831 37921232322 47128445108 70692667662 75842464644 106039001493 141385335324 212078002986 318117004479 424156005972 636234008958 954351013437 1272468017916 1908702026874 2863053040311 3817404053748 5726106080622 11452212161244