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1082490130944 = 2933167468893
BaseRepresentation
bin11111100000010010111…
…00001001001000000000
310211111002121011020222000
433300021130021020000
5120213414433142234
62145142240144000
7141131054203425
oct17601134111000
93744077136860
101082490130944
11388099505232
12155963908000
137b103285a01
143a56dbc3d4c
151d258661899
hexfc09709200

1082490130944 has 160 divisors (see below), whose sum is σ = 3223439936640. Its totient is φ = 358668619776.

The previous prime is 1082490130933. The next prime is 1082490130949. The reversal of 1082490130944 is 4490310942801.

1082490130944 is a `hidden beast` number, since 10 + 82 + 490 + 1 + 30 + 9 + 44 = 666.

It is a super-2 number, since 2×10824901309442 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1082490130944.

It is not an unprimeable number, because it can be changed into a prime (1082490130949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2074162 + ... + 2543054.

It is an arithmetic number, because the mean of its divisors is an integer number (20146499604).

Almost surely, 21082490130944 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 1082490130944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611719968320).

1082490130944 is an abundant number, since it is smaller than the sum of its proper divisors (2140949805696).

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

1082490130944 is an equidigital number, since it uses as much as digits as its factorization.

1082490130944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469087 (or 469065 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1082490130944 in words is "one trillion, eighty-two billion, four hundred ninety million, one hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 167 192 216 256 288 334 384 432 501 512 576 668 768 864 1002 1152 1336 1503 1536 1728 2004 2304 2672 3006 3456 4008 4509 4608 5344 6012 6912 8016 9018 10688 12024 13824 16032 18036 21376 24048 32064 36072 42752 48096 64128 72144 85504 96192 128256 144288 192384 256512 288576 384768 468893 577152 769536 937786 1154304 1406679 1875572 2308608 2813358 3751144 4220037 5626716 7502288 8440074 11253432 12660111 15004576 16880148 22506864 25320222 30009152 33760296 45013728 50640444 60018304 67520592 78305131 90027456 101280888 120036608 135041184 156610262 180054912 202561776 234915393 240073216 270082368 313220524 360109824 405123552 469830786 540164736 626441048 704746179 720219648 810247104 939661572 1080329472 1252882096 1409492358 1620494208 1879323144 2114238537 2160658944 2505764192 2818984716 3240988416 3758646288 4228477074 5011528384 5637969432 6481976832 7517292576 8456954148 10023056768 11275938864 15034585152 16913908296 20046113536 22551877728 30069170304 33827816592 40092227072 45103755456 60138340608 67655633184 90207510912 120276681216 135311266368 180415021824 270622532736 360830043648 541245065472 1082490130944