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1115544331152 = 243289421720641
BaseRepresentation
bin10000001110111011100…
…111111010001110010000
310221122102012110121101100
4100032323213322032100
5121234113322044102
62212250214304400
7143411141235156
oct20167347721620
93848365417340
101115544331152
113a0110769069
12160249658100
138127032b464
143bdc7b033d6
151e040488a1c
hex103bb9fa390

1115544331152 has 120 divisors (see below), whose sum is σ = 3157954764120. Its totient is φ = 367565045760.

The previous prime is 1115544331133. The next prime is 1115544331163. The reversal of 1115544331152 is 2511334455111.

1115544331152 is a `hidden beast` number, since 1 + 1 + 1 + 554 + 43 + 3 + 11 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 73601519616 + 1041942811536 = 271296^2 + 1020756^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54034752 + ... + 54055392.

It is an arithmetic number, because the mean of its divisors is an integer number (26316289701).

Almost surely, 21115544331152 is an apocalyptic number.

1115544331152 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 1115544331152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578977382060).

1115544331152 is an abundant number, since it is smaller than the sum of its proper divisors (2042410432968).

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

1115544331152 is a wasteful number, since it uses less digits than its factorization.

1115544331152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24961 (or 24952 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

Adding to 1115544331152 its reverse (2511334455111), we get a palindrome (3626878786263).

The spelling of 1115544331152 in words is "one trillion, one hundred fifteen billion, five hundred forty-four million, three hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1424 1602 2136 3204 4217 4272 6408 8434 12651 12816 16868 20641 25302 33736 37953 41282 50604 61923 67472 75906 82564 101208 123846 151812 165128 185769 202416 247692 303624 330256 371538 375313 495384 607248 743076 750626 990768 1125939 1486152 1501252 1837049 2251878 2972304 3002504 3377817 3674098 4503756 5511147 6005008 6755634 7348196 9007512 11022294 13511268 14696392 16533441 18015024 22044588 27022536 29392784 33066882 44089176 54045072 66133764 87043097 88178352 132267528 174086194 261129291 264535056 348172388 522258582 696344776 783387873 1044517164 1392689552 1566775746 2089034328 3133551492 4178068656 6267102984 7746835633 12534205968 15493671266 23240506899 30987342532 46481013798 61974685064 69721520697 92962027596 123949370128 139443041394 185924055192 278886082788 371848110384 557772165576 1115544331152