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2254525414544 = 2413173730756131
BaseRepresentation
bin100000110011101100001…
…011111011110010010000
321222112022202022120210102
4200303230023323302100
5243414232001231134
64443414211551532
7321612145555154
oct40635413736220
97875282276712
102254525414544
1179a158903a57
12304b37bbb5a8
131347a7057840
147b196305064
153d9a325537e
hex20cec2fbc90

2254525414544 has 160 divisors (see below), whose sum is σ = 5132241265536. Its totient is φ = 949751930880.

The previous prime is 2254525414541. The next prime is 2254525414567. The reversal of 2254525414544 is 4454145254522.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2254525414541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40137359 + ... + 40193489.

Almost surely, 22254525414544 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 2254525414544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566120632768).

2254525414544 is an abundant number, since it is smaller than the sum of its proper divisors (2877715850992).

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

2254525414544 is a wasteful number, since it uses less digits than its factorization.

2254525414544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56513 (or 56507 counting only the distinct ones).

The product of its digits is 5120000, while the sum is 47.

The spelling of 2254525414544 in words is "two trillion, two hundred fifty-four billion, five hundred twenty-five million, four hundred fourteen thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 34 37 52 68 74 104 136 148 208 221 272 296 307 442 481 592 614 629 884 962 1228 1258 1768 1924 2456 2516 3536 3848 3991 4912 5032 5219 7696 7982 8177 10064 10438 11359 15964 16354 20876 22718 31928 32708 41752 45436 56131 63856 65416 67847 83504 90872 112262 130832 135694 147667 181744 193103 224524 271388 295334 386206 449048 542776 590668 729703 772412 898096 954227 1085552 1181336 1459406 1544824 1908454 2076847 2362672 2510339 2918812 3089648 3816908 4153694 5020678 5837624 7633816 8307388 10041356 11675248 12404951 15267632 16614776 17232217 20082712 24809902 26999011 33229552 34464434 35306399 40165424 49619804 53998022 68928868 70612798 99239608 107996044 137857736 141225596 198479216 215992088 224018821 275715472 282451192 292947689 431984176 448037642 458983187 564902384 585895378 637592029 896075284 917966374 1171790756 1275184058 1792150568 1835932748 2343581512 2550368116 3584301136 3671865496 3808319957 4687163024 5100736232 7343730992 7616639914 8288696377 10201472464 10839064493 15233279828 16577392754 21678128986 30466559656 33154785508 43356257972 60933119312 66309571016 86712515944 132619142032 140907838409 173425031888 281815676818 563631353636 1127262707272 2254525414544