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1099148848384 = 2831374578191
BaseRepresentation
bin11111111111010100110…
…00000110110100000000
310220002002120110210012211
433333222120012310000
5121002024101122014
62200535250231504
7142260635025646
oct17775230066400
93802076423184
101099148848384
11394167963204
12159032885594
137c859655a72
143b2b0425196
151d8d0dc2cc4
hexffea606d00

1099148848384 has 144 divisors (see below), whose sum is σ = 2331362983936. Its totient is φ = 516276633600.

The previous prime is 1099148848373. The next prime is 1099148848409. The reversal of 1099148848384 is 4838488419901.

1099148848384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10991488483842 (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 15 ways as a sum of consecutive naturals, for example, 134185729 + ... + 134193919.

Almost surely, 21099148848384 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 1099148848384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165681491968).

1099148848384 is an abundant number, since it is smaller than the sum of its proper divisors (1232214135552).

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

1099148848384 is an equidigital number, since it uses as much as digits as its factorization.

1099148848384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8732 (or 8718 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 67.

The spelling of 1099148848384 in words is "one trillion, ninety-nine billion, one hundred forty-eight million, eight hundred forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 31 32 37 62 64 74 124 128 148 248 256 296 457 496 592 914 992 1147 1184 1828 1984 2294 2368 3656 3968 4588 4736 7312 7936 8191 9176 9472 14167 14624 16382 16909 18352 28334 29248 32764 33818 36704 56668 58496 65528 67636 73408 113336 116992 131056 135272 146816 226672 253921 262112 270544 293632 303067 453344 507842 524179 524224 541088 606134 906688 1015684 1048358 1048448 1082176 1212268 1813376 2031368 2096716 2096896 2164352 2424536 3626752 3743287 4062736 4193432 4328704 4849072 7486574 8125472 8386864 9395077 9698144 14973148 16250944 16773728 18790154 19396288 29946296 32501888 33547456 37580308 38792576 59892592 65003776 67094912 75160616 77585152 116041897 119785184 134189824 138501619 150321232 232083794 239570368 277003238 300642464 464167588 479140736 554006476 601284928 928335176 958281472 1108012952 1202569856 1856670352 2216025904 2405139712 3713340704 4293550189 4432051808 7426681408 8587100378 8864103616 14853362816 17174200756 17728207232 29706725632 34348401512 35456414464 68696803024 137393606048 274787212096 549574424192 1099148848384