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11300314508384 = 2511313727988811
BaseRepresentation
bin1010010001110000111100…
…1110110110110001100000
31111000022002100101101110012
42210130033032312301200
52440121021003232014
640011143125424052
72244264220323026
oct244341716666140
944008070341405
1011300314508384
113667488a39aa0
1213260b056b028
1363c7cc4603a5
142b0d1c386716
15148e31790c3e
hexa470f3b6c60

11300314508384 has 96 divisors (see below), whose sum is σ = 25730002916352. Its totient is φ = 4836466368000.

The previous prime is 11300314508359. The next prime is 11300314508407. The reversal of 11300314508384 is 48380541300311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13590662 + ... + 14398149.

It is an arithmetic number, because the mean of its divisors is an integer number (268020863712).

Almost surely, 211300314508384 is an apocalyptic number.

It is an amenable number.

11300314508384 is an abundant number, since it is smaller than the sum of its proper divisors (14429688407968).

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

11300314508384 is a wasteful number, since it uses less digits than its factorization.

11300314508384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27988900 (or 27988892 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

Adding to 11300314508384 its reverse (48380541300311), we get a palindrome (59680855808695).

The spelling of 11300314508384 in words is "eleven trillion, three hundred billion, three hundred fourteen million, five hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 31 32 37 44 62 74 88 124 148 176 248 296 341 352 407 496 592 682 814 992 1147 1184 1364 1628 2294 2728 3256 4588 5456 6512 9176 10912 12617 13024 18352 25234 36704 50468 100936 201872 403744 27988811 55977622 111955244 223910488 307876921 447820976 615753842 867653141 895641952 1035586007 1231507684 1735306282 2071172014 2463015368 3470612564 4142344028 4926030736 6941225128 8284688056 9544184551 9852061472 11391446077 13882450256 16569376112 19088369102 22782892154 27764900512 32103166217 33138752224 38176738204 45565784308 64206332434 76353476408 91131568616 128412664868 152706952816 182263137232 256825329736 305413905632 353134828387 364526274464 513650659472 706269656774 1027301318944 1412539313548 2825078627096 5650157254192 11300314508384