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1082516601144 = 2331119125185531
BaseRepresentation
bin11111100000010110000…
…01000111100100111000
310211111011102222002020210
433300023001013210320
5120213443222214034
62145145023351120
7141131525201136
oct17601301074470
93744142862223
101082516601144
11388102444730
121559707524a0
137b1088c3154
143a573514756
151d25ab3e8e9
hexfc0b047938

1082516601144 has 128 divisors (see below), whose sum is σ = 2979633807360. Its totient is φ = 325014000000.

The previous prime is 1082516601139. The next prime is 1082516601239. The reversal of 1082516601144 is 4411066152801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12613659 + ... + 12699189.

It is an arithmetic number, because the mean of its divisors is an integer number (23278389120).

Almost surely, 21082516601144 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 1082516601144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489816903680).

1082516601144 is an abundant number, since it is smaller than the sum of its proper divisors (1897117206216).

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

1082516601144 is a wasteful number, since it uses less digits than its factorization.

1082516601144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85993 (or 85989 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 1082516601144 in words is "one trillion, eighty-two billion, five hundred sixteen million, six hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 191 251 264 382 502 573 753 764 1004 1146 1506 1528 2008 2101 2292 2761 3012 4202 4584 5522 6024 6303 8283 8404 11044 12606 16566 16808 22088 25212 33132 47941 50424 66264 85531 95882 143823 171062 191764 256593 287646 342124 383528 513186 527351 575292 684248 940841 1026372 1054702 1150584 1582053 1881682 2052744 2109404 2822523 3164106 3763364 4218808 5645046 6328212 7526728 11290092 12656424 16336421 21468281 22580184 32672842 42936562 49009263 64404843 65345684 85873124 98018526 128809686 130691368 171746248 179700631 196037052 236151091 257619372 359401262 392074104 472302182 515238744 539101893 708453273 718802524 944604364 1078203786 1416906546 1437605048 1889208728 2156407572 2833813092 4100441671 4312815144 5667626184 8200883342 12301325013 16401766684 24602650026 32803533368 45104858381 49205300052 90209716762 98410600104 135314575143 180419433524 270629150286 360838867048 541258300572 1082516601144