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1104166226328 = 23311191731272421
BaseRepresentation
bin10000000100010101011…
…011111000100110011000
310220120001020112222211120
4100010111123320212120
5121042313023220303
62203125202125240
7142526161031664
oct20042533704630
93816036488746
101104166226328
1139630205a550
12159bb3050820
1380178c8a459
143b62892b8a4
151dac660d553
hex101156f8998

1104166226328 has 128 divisors (see below), whose sum is σ = 3188180563200. Its totient is φ = 315152985600.

The previous prime is 1104166226327. The next prime is 1104166226357. The reversal of 1104166226328 is 8236226614011.

It is a super-2 number, since 2×11041662263282 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1104166226328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104166226321) 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, 231558 + ... + 1503978.

It is an arithmetic number, because the mean of its divisors is an integer number (24907660650).

Almost surely, 21104166226328 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 1104166226328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594090281600).

1104166226328 is an abundant number, since it is smaller than the sum of its proper divisors (2084014336872).

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

1104166226328 is a wasteful number, since it uses less digits than its factorization.

1104166226328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272633 (or 1272629 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 1104166226328 in words is "one trillion, one hundred four billion, one hundred sixty-six million, two hundred twenty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 173 209 228 264 346 418 456 519 627 692 836 1038 1254 1384 1672 1903 2076 2508 3287 3806 4152 5016 5709 6574 7612 9861 11418 13148 15224 19722 22836 26296 36157 39444 45672 72314 78888 108471 144628 216942 289256 433884 867768 1272421 2544842 3817263 5089684 7634526 10179368 13996631 15269052 24175999 27993262 30538104 41989893 48351998 55986524 72527997 83979786 96703996 111973048 145055994 167959572 193407992 220128833 265935989 290111988 335919144 440257666 531871978 580223976 660386499 797807967 880515332 1063743956 1320772998 1595615934 1761030664 2127487912 2421417163 2641545996 3191231868 4182447827 4842834326 5283091992 6382463736 7264251489 8364895654 9685668652 12547343481 14528502978 16729791308 19371337304 25094686962 29057005956 33459582616 46006926097 50189373924 58114011912 92013852194 100378747848 138020778291 184027704388 276041556582 368055408776 552083113164 1104166226328