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2111281848928 = 257219166942461
BaseRepresentation
bin11110101110010010001…
…101000110001001100000
321110211120212021111111101
4132232102031012021200
5234042401123131203
64253524241124144
7305351350420300
oct36562215061140
97424525244441
102111281848928
11744431620a7a
122a1220029654
131241294b2565
1474287dcb600
1539dbc8cc41d
hex1eb92346260

2111281848928 has 144 divisors (see below), whose sum is σ = 5092866802800. Its totient is φ = 856678394880.

The previous prime is 2111281848901. The next prime is 2111281848959. The reversal of 2111281848928 is 8298481821112.

It is a super-2 number, since 2×21112818489282 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49701618 + ... + 49744078.

It is an arithmetic number, because the mean of its divisors is an integer number (35367130575).

Almost surely, 22111281848928 is an apocalyptic number.

2111281848928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111281848928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546433401400).

2111281848928 is an abundant number, since it is smaller than the sum of its proper divisors (2981584953872).

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

2111281848928 is a wasteful number, since it uses less digits than its factorization.

2111281848928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44173 (or 44158 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 55.

The spelling of 2111281848928 in words is "two trillion, one hundred eleven billion, two hundred eighty-one million, eight hundred forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 392 532 608 784 931 1064 1568 1669 1862 2128 3338 3724 4256 6676 7448 11683 13352 14896 23366 26704 29792 31711 42461 46732 53408 63422 81781 84922 93464 126844 163562 169844 186928 221977 253688 297227 327124 339688 373856 443954 507376 594454 654248 679376 806759 887908 1014752 1188908 1308496 1358752 1553839 1613518 1775816 2080589 2377816 2616992 3107678 3227036 3551632 4161178 4755632 5647313 6215356 6454072 7103264 8322356 9511264 11294626 12430712 12908144 16644712 22589252 24861424 25816288 33289424 39531191 45178504 49722848 66578848 70867409 79062382 90357008 141734818 158124764 180714016 283469636 316249528 496071863 566939272 632499056 992143726 1133878544 1264998112 1346480771 1984287452 2267757088 2692961542 3472503041 3968574904 5385923084 6945006082 7937149808 9425365397 10771846168 13890012164 15874299616 18850730794 21543692336 27780024328 37701461588 43087384672 55560048656 65977557779 75402923176 111120097312 131955115558 150805846352 263910231116 301611692704 527820462232 1055640924464 2111281848928