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2969003852304 = 243773521232333
BaseRepresentation
bin101011001101000110011…
…010111000001000010000
3101111211111222112211022220
4223031012122320020100
5342121004441233204
610151535212301040
7424334453230410
oct53150632701020
911454458484286
102969003852304
11a45169300196
123bb4b5471780
13186c8bc791c9
14a39b4464640
155236d44a1d9
hex2b3466b8210

2969003852304 has 160 divisors (see below), whose sum is σ = 8902800969984. Its totient is φ = 835056967680.

The previous prime is 2969003852281. The next prime is 2969003852341. The reversal of 2969003852304 is 4032583009692.

It is a happy number.

It is a super-2 number, since 2×29690038523042 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12662922 + ... + 12895254.

Almost surely, 22969003852304 is an apocalyptic number.

2969003852304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2969003852304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451400484992).

2969003852304 is an abundant number, since it is smaller than the sum of its proper divisors (5933797117680).

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

2969003852304 is a wasteful number, since it uses less digits than its factorization.

2969003852304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232945 (or 232939 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 2969003852304 in words is "two trillion, nine hundred sixty-nine billion, three million, eight hundred fifty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 146 168 219 292 336 438 511 521 584 876 1022 1042 1168 1533 1563 1752 2044 2084 3066 3126 3504 3647 4088 4168 6132 6252 7294 8176 8336 10941 12264 12504 14588 21882 24528 25008 29176 38033 43764 58352 76066 87528 114099 152132 175056 228198 232333 266231 304264 456396 464666 532462 608528 696999 798693 912792 929332 1064924 1393998 1597386 1626331 1825584 1858664 2129848 2787996 3194772 3252662 3717328 4259696 4878993 5575992 6389544 6505324 9757986 11151984 12779088 13010648 16960309 19515972 26021296 33920618 39031944 50880927 67841236 78063888 101761854 118722163 121045493 135682472 203523708 237444326 242090986 271364944 356166489 363136479 407047416 474888652 484181972 712332978 726272958 814094832 847318451 949777304 968363944 1424665956 1452545916 1694636902 1899554608 1936727888 2541955353 2849331912 2905091832 3389273804 5083910706 5698663824 5810183664 6778547608 8836320989 10167821412 13557095216 17672641978 20335642824 26508962967 35345283956 40671285648 53017925934 61854246923 70690567912 106035851868 123708493846 141381135824 185562740769 212071703736 247416987692 371125481538 424143407472 494833975384 742250963076 989667950768 1484501926152 2969003852304