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1085027490352 = 241329713929761
BaseRepresentation
bin11111100101000001010…
…11011001101000110000
310211201122102122110201101
433302200223121220300
5120234114014142402
62150242120414144
7141250664331631
oct17624053315060
93751572573641
101085027490352
11389180805983
12156351617354
137b418b65b00
143a730b9b888
151d3562bbb87
hexfca0ad9a30

1085027490352 has 120 divisors (see below), whose sum is σ = 2316482412720. Its totient is φ = 492037079040.

The previous prime is 1085027490341. The next prime is 1085027490353. The reversal of 1085027490352 is 2530947205801.

It is not an unprimeable number, because it can be changed into a prime (1085027490353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36443152 + ... + 36472912.

It is an arithmetic number, because the mean of its divisors is an integer number (19304020106).

Almost surely, 21085027490352 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 1085027490352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158241206360).

1085027490352 is an abundant number, since it is smaller than the sum of its proper divisors (1231454922368).

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

1085027490352 is a wasteful number, since it uses less digits than its factorization.

1085027490352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30031 (or 30012 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 1085027490352 in words is "one trillion, eighty-five billion, twenty-seven million, four hundred ninety thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 97 104 139 169 194 208 278 338 388 556 676 776 1112 1261 1352 1552 1807 2224 2522 2704 3614 5044 7228 10088 13483 14456 16393 20176 23491 26966 28912 29761 32786 46982 53932 59522 65572 93964 107864 119044 131144 175279 187928 215728 238088 262288 350558 375856 386893 476176 701116 773786 1402232 1547572 2278627 2804464 2886817 3095144 4136779 4557254 5029609 5773634 6190288 8273558 9114508 10059218 11547268 16547116 18229016 20118436 23094536 33094232 36458032 37528621 40236872 46189072 53778127 66188464 75057242 80473744 107556254 150114484 215112508 300228968 401267563 430225016 487872073 600457936 699115651 802535126 860450032 975744146 1398231302 1605070252 1951488292 2796462604 3210140504 3902976584 5216478319 5592925208 6420281008 7805953168 10432956638 11185850416 20865913276 41731826552 67814218147 83463653104 135628436294 271256872588 542513745176 1085027490352