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10344105511104 = 263268320080339
BaseRepresentation
bin1001011010000110110010…
…1111000000100011000000
31100121212221111110101112210
42112201230233000203000
52323434212002323404
634000003320222120
72115223402051611
oct226415457004300
940555844411483
1010344105511104
113328a01988642
1211b091000a940
135a05a27811a1
1427a92bbb9c08
1512e119751689
hex9686cbc08c0

10344105511104 has 56 divisors (see below), whose sum is σ = 27378981340480. Its totient is φ = 3446749857024.

The previous prime is 10344105511087. The next prime is 10344105511121. The reversal of 10344105511104 is 40111550144301.

It is an interprime number because it is at equal distance from previous prime (10344105511087) and next prime (10344105511121).

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 7 ways as a sum of consecutive naturals, for example, 9525034 + ... + 10555305.

It is an arithmetic number, because the mean of its divisors is an integer number (488910381080).

Almost surely, 210344105511104 is an apocalyptic number.

It is an amenable number.

10344105511104 is an abundant number, since it is smaller than the sum of its proper divisors (17034875829376).

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

10344105511104 is a wasteful number, since it uses less digits than its factorization.

10344105511104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20083037 (or 20083027 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 10344105511104 its reverse (40111550144301), we get a palindrome (50455655655405).

The spelling of 10344105511104 in words is "ten trillion, three hundred forty-four billion, one hundred five million, five hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 2683 5366 8049 10732 16098 21464 32196 42928 64392 85856 128784 171712 257568 515136 20080339 40160678 60241017 80321356 120482034 160642712 240964068 321285424 481928136 642570848 963856272 1285141696 1927712544 3855425088 53875549537 107751099074 161626648611 215502198148 323253297222 431004396296 646506594444 862008792592 1293013188888 1724017585184 2586026377776 3448035170368 5172052755552 10344105511104