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2264873081088 = 28323676318959
BaseRepresentation
bin100000111101010100111…
…101001001100100000000
322000112000220021111202110
4200331110331021210000
5244101430002043323
64452245054215320
7322426444355202
oct40752475114400
98015026244673
102264873081088
117a3588899a92
12306b454b4540
13135765a92057
147b8986c8772
153ddab8da793
hex20f54f49900

2264873081088 has 144 divisors (see below), whose sum is σ = 6291208304640. Its totient is φ = 721988585472.

The previous prime is 2264873081047. The next prime is 2264873081123. The reversal of 2264873081088 is 8801803784622.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 119452153 + ... + 119471111.

It is an arithmetic number, because the mean of its divisors is an integer number (43688946560).

Almost surely, 22264873081088 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 2264873081088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145604152320).

2264873081088 is an abundant number, since it is smaller than the sum of its proper divisors (4026335223552).

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

2264873081088 is a wasteful number, since it uses less digits than its factorization.

2264873081088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25764 (or 25750 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 57.

The spelling of 2264873081088 in words is "two trillion, two hundred sixty-four billion, eight hundred seventy-three million, eighty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 552 736 768 1104 1472 2208 2944 4416 5888 6763 8832 13526 17664 18959 20289 27052 37918 40578 54104 56877 75836 81156 108208 113754 151672 155549 162312 216416 227508 303344 311098 324624 432832 436057 455016 466647 606688 622196 649248 865664 872114 910032 933294 1213376 1244392 1298496 1308171 1731328 1744228 1820064 1866588 2426752 2488784 2596992 2616342 3488456 3640128 3733176 4853504 4977568 5193984 5232684 6976912 7280256 7466352 9955136 10465368 13953824 14560512 14932704 19910272 20930736 27907648 29865408 39820544 41861472 55815296 59730816 83722944 111630592 119461632 128219717 167445888 256439434 334891776 384659151 512878868 769318302 1025757736 1538636604 2051515472 2949053491 3077273208 4103030944 5898106982 6154546416 8206061888 8847160473 11796213964 12309092832 16412123776 17694320946 23592427928 24618185664 32824247552 35388641892 47184855856 49236371328 70777283784 94369711712 98472742656 141554567568 188739423424 283109135136 377478846848 566218270272 754957693696 1132436540544 2264873081088