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1112133956472 = 233371166867121
BaseRepresentation
bin10000001011110000010…
…110010111001101111000
310221022121112020121211000
4100023300112113031320
5121210122243101342
62210523550205000
7143230500440640
oct20136026271570
93838545217730
101112133956472
113997206970a0
1215b6574b3760
1380b48912386
143bb82bd5520
151dde0d8244c
hex102f0597378

1112133956472 has 128 divisors (see below), whose sum is σ = 3851546227200. Its totient is φ = 288865958400.

The previous prime is 1112133956467. The next prime is 1112133956513. The reversal of 1112133956472 is 2746593312111.

1112133956472 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 13 + 3 + 9 + 564 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33416929 + ... + 33450192.

It is an arithmetic number, because the mean of its divisors is an integer number (30090204900).

Almost surely, 21112133956472 is an apocalyptic number.

1112133956472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1112133956472 is an abundant number, since it is smaller than the sum of its proper divisors (2739412270728).

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

1112133956472 is a wasteful number, since it uses less digits than its factorization.

1112133956472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66867154 (or 66867144 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 1112133956472 in words is "one trillion, one hundred twelve billion, one hundred thirty-three million, nine hundred fifty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 2079 2376 2772 4158 5544 8316 16632 66867121 133734242 200601363 267468484 401202726 468069847 534936968 601804089 735538331 802405452 936139694 1203608178 1404209541 1471076662 1604810904 1805412267 1872279388 2206614993 2407216356 2808419082 2942153324 3610824534 3744558776 4212628623 4413229986 4814432712 5148768317 5616838164 5884306648 6619844979 7221649068 8425257246 8826459972 10297536634 11233676328 12637885869 13239689958 14443298136 15446304951 16850514492 17652919944 19859534937 20595073268 25275771738 26479379916 30892609902 33701028984 39719069874 41190146536 46338914853 50551543476 52958759832 61785219804 79438139748 92677829706 101103086952 123570439608 139016744559 158876279496 185355659412 278033489118 370711318824 556066978236 1112133956472