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2248888888896 = 263136703134417
BaseRepresentation
bin100000101110011100001…
…110010010111001000000
321221222202221012102012020
4200232130032102321000
5243321211023421041
64441043021401440
7321322364103606
oct40563416227100
97858687172166
102248888888896
117978261708a1
12303a24409280
131340b9382070
147abbd8ad876
153d7734b8866
hex20b9c392e40

2248888888896 has 112 divisors (see below), whose sum is σ = 6408895390464. Its totient is φ = 691857432576.

The previous prime is 2248888888889. The next prime is 2248888888933. The reversal of 2248888888896 is 6988888888422.

It is a happy number.

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, 16663480 + ... + 16797896.

It is an arithmetic number, because the mean of its divisors is an integer number (57222280272).

Almost surely, 22248888888896 is an apocalyptic number.

2248888888896 is a gapful number since it is divisible by the number (26) 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 2248888888896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204447695232).

2248888888896 is an abundant number, since it is smaller than the sum of its proper divisors (4160006501568).

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

2248888888896 is a wasteful number, since it uses less digits than its factorization.

2248888888896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141148 (or 141138 counting only the distinct ones).

The product of its digits is 14495514624, while the sum is 87.

The spelling of 2248888888896 in words is "two trillion, two hundred forty-eight billion, eight hundred eighty-eight million, eight hundred eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 6703 13406 20109 26812 40218 53624 80436 87139 107248 134417 160872 174278 214496 261417 268834 321744 348556 403251 428992 522834 537668 643488 697112 806502 1045668 1075336 1286976 1394224 1613004 1747421 2091336 2150672 2788448 3226008 3494842 4182672 4301344 5242263 5576896 6452016 6989684 8365344 8602688 10484526 12904032 13979368 16730688 20969052 25808064 27958736 41938104 55917472 83876208 111834944 167752416 335504832 900997151 1801994302 2702991453 3603988604 5405982906 7207977208 10811965812 11712962963 14415954416 21623931624 23425925926 28831908832 35138888889 43247863248 46851851852 57663817664 70277777778 86495726496 93703703704 140555555556 172991452992 187407407408 281111111112 374814814816 562222222224 749629629632 1124444444448 2248888888896