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1122265605552 = 2437131715113467
BaseRepresentation
bin10000010101001100001…
…111100010010110110000
310222021202121201201112020
4100111030033202112300
5121341344443334202
62215321154431440
7144036534152310
oct20251417422660
93867677651466
101122265605552
113a2a4a749aa3
12161604592580
1381aa1974ac0
143c464627440
151e2d55975bc
hex1054c3e25b0

1122265605552 has 160 divisors (see below), whose sum is σ = 3778125184512. Its totient is φ = 278571405312.

The previous prime is 1122265605511. The next prime is 1122265605557. The reversal of 1122265605552 is 2555065622211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1122265605557) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7482478 + ... + 7630989.

Almost surely, 21122265605552 is an apocalyptic number.

1122265605552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1122265605552 is an abundant number, since it is smaller than the sum of its proper divisors (2655859578960).

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

1122265605552 is a wasteful number, since it uses less digits than its factorization.

1122265605552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15113515 (or 15113509 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 1122265605552 in words is "one trillion, one hundred twenty-two billion, two hundred sixty-five million, six hundred five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 34 39 42 48 51 52 56 68 78 84 91 102 104 112 119 136 156 168 182 204 208 221 238 272 273 312 336 357 364 408 442 476 546 624 663 714 728 816 884 952 1092 1326 1428 1456 1547 1768 1904 2184 2652 2856 3094 3536 4368 4641 5304 5712 6188 9282 10608 12376 18564 24752 37128 74256 15113467 30226934 45340401 60453868 90680802 105794269 120907736 181361604 196475071 211588538 241815472 256928939 317382807 362723208 392950142 423177076 513857878 589425213 634765614 725446416 770786817 785900284 846354152 1027715756 1178850426 1269531228 1375325497 1541573634 1571800568 1692708304 1798502573 2055431512 2357700852 2539062456 2750650994 3083147268 3143601136 3340076207 3597005146 4110863024 4125976491 4715401704 5078124912 5395507719 5501301988 6166294536 6680152414 7194010292 8251952982 9430803408 10020228621 10791015438 11002603976 12332589072 13360304828 14388020584 16503905964 20040457242 21582030876 22005207952 23380533449 26720609656 28776041168 33007811928 40080914484 43164061752 46761066898 53441219312 66015623856 70141600347 80161828968 86328123504 93522133796 140283200694 160323657936 187044267592 280566401388 374088535184 561132802776 1122265605552