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1083000483378 = 23411274332
BaseRepresentation
bin11111100001001111101…
…10111110111000110010
310211112102011110211220000
433300213312332320302
5120220441110432003
62145305030530430
7141146522135412
oct17604766767062
93745364424800
101083000483378
113883305a2600
12155a86806a16
137b184c23bb8
143a5bb8b2642
151d2883721a3
hexfc27dbee32

1083000483378 has 90 divisors (see below), whose sum is σ = 2667748985517. Its totient is φ = 328137812640.

The previous prime is 1083000483349. The next prime is 1083000483401. The reversal of 1083000483378 is 8733840003801.

1083000483378 is a `hidden beast` number, since 1 + 0 + 8 + 300 + 0 + 4 + 8 + 337 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 797943798729 + 285056684649 = 893277^2 + 533907^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=735867.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 145697950 + ... + 145705382.

Almost surely, 21083000483378 is an apocalyptic number.

1083000483378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1083000483378

1083000483378 is an abundant number, since it is smaller than the sum of its proper divisors (1584748502139).

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

1083000483378 is an frugal number, since it uses more digits than its factorization.

1083000483378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14902 (or 7449 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1083000483378 in words is "one trillion, eighty-three billion, four hundred eighty-three thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 297 363 594 726 891 1089 1782 2178 3267 6534 7433 9801 14866 19602 22299 44598 66897 81763 133794 163526 200691 245289 401382 490578 602073 735867 899393 1204146 1471734 1798786 2207601 2698179 4415202 5396358 6622803 8094537 13245606 16189074 24283611 48567222 55249489 72850833 110498978 145701666 165748467 331496934 497245401 607744379 994490802 1215488758 1491736203 1823233137 2983472406 3646466274 4475208609 5469699411 6685188169 8950417218 10939398822 13370376338 16409098233 20055564507 32818196466 40111129014 49227294699 60166693521 98454589398 120333387042 180500080563 361000161126 541500241689 1083000483378