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2254045303552 = 287106110691109
BaseRepresentation
bin100000110011001111100…
…100011101001100000000
321222111002021220102022211
4200303033210131030000
5243412241044203202
64443254421311504
7321564225645520
oct40631744351400
97874067812284
102254045303552
11799a318a1509
12304a23265594
1313472b7474b3
147b14c649680
153d97601a1d7
hex20ccf91d300

2254045303552 has 144 divisors (see below), whose sum is σ = 5156347291200. Its totient is φ = 963336683520.

The previous prime is 2254045303541. The next prime is 2254045303577. The reversal of 2254045303552 is 2553035404522.

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, 2032501974 + ... + 2032503082.

It is an arithmetic number, because the mean of its divisors is an integer number (35807967300).

Almost surely, 22254045303552 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 2254045303552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578173645600).

2254045303552 is an abundant number, since it is smaller than the sum of its proper divisors (2902301987648).

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

2254045303552 is a wasteful number, since it uses less digits than its factorization.

2254045303552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 40.

The spelling of 2254045303552 in words is "two trillion, two hundred fifty-four billion, forty-five million, three hundred three thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1061 1069 1109 1792 2122 2138 2218 4244 4276 4436 7427 7483 7763 8488 8552 8872 14854 14966 15526 16976 17104 17744 29708 29932 31052 33952 34208 35488 59416 59864 62104 67904 68416 70976 118832 119728 124208 135808 136832 141952 237664 239456 248416 271616 273664 283904 475328 478912 496832 950656 957824 993664 1134209 1176649 1185521 1901312 1915648 1987328 2268418 2353298 2371042 4536836 4706596 4742084 7939463 8236543 8298647 9073672 9413192 9484168 15878926 16473086 16597294 18147344 18826384 18968336 31757852 32946172 33194588 36294688 37652768 37936672 63515704 65892344 66389176 72589376 75305536 75873344 127031408 131784688 132778352 145178752 150611072 151746688 254062816 263569376 265556704 290357504 301222144 303493376 508125632 527138752 531113408 1016251264 1054277504 1062226816 1257837781 2032502528 2108555008 2124453632 2515675562 5031351124 8804864467 10062702248 17609728934 20125404496 35219457868 40250808992 70438915736 80501617984 140877831472 161003235968 281755662944 322006471936 563511325888 1127022651776 2254045303552