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10447342119808 = 271144396717321
BaseRepresentation
bin1001100000000111011000…
…0111011010101110000000
31100222202102020100111020221
42120001312013122232000
52332132124040313213
634115235343112424
72125536606542236
oct230016607325600
940882366314227
1010447342119808
1133687692a0770
1212089218a2714
135aa2459a94b9
14281922a34956
15131b5cbbb38d
hex980761dab80

10447342119808 has 128 divisors (see below), whose sum is σ = 22781262493440. Its totient is φ = 4732899225600.

The previous prime is 10447342119757. The next prime is 10447342119827. The reversal of 10447342119808 is 80891124374401.

It is a tau number, because it is divible by the number of its divisors (128).

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, 603151788 + ... + 603169108.

It is an arithmetic number, because the mean of its divisors is an integer number (177978613230).

Almost surely, 210447342119808 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 10447342119808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11390631246720).

10447342119808 is an abundant number, since it is smaller than the sum of its proper divisors (12333920373632).

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

10447342119808 is a wasteful number, since it uses less digits than its factorization.

10447342119808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18756 (or 18744 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The spelling of 10447342119808 in words is "ten trillion, four hundred forty-seven billion, three hundred forty-two million, one hundred nineteen thousand, eight hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 443 704 886 967 1408 1772 1934 3544 3868 4873 7088 7736 9746 10637 14176 15472 17321 19492 21274 28352 30944 34642 38984 42548 56704 61888 69284 77968 85096 123776 138568 155936 170192 190531 277136 311872 340384 381062 428381 554272 623744 680768 762124 856762 1108544 1361536 1524248 1713524 2217088 3048496 3427048 4712191 6096992 6854096 7673203 9424382 12193984 13708192 15346406 16749407 18848764 24387968 27416384 30692812 33498814 37697528 54832768 61385624 66997628 75395056 84405233 122771248 133995256 150790112 168810466 184243477 245542496 267990512 301580224 337620932 368486954 491084992 535981024 603160448 675241864 736973908 982169984 1071962048 1350483728 1473947816 2143924096 2700967456 2947895632 5401934912 5895791264 7419987301 10803869824 11791582528 14839974602 23583165056 29679949204 59359898408 81619860311 118719796816 163239720622 237439593632 326479441244 474879187264 652958882488 949758374528 1305917764976 2611835529952 5223671059904 10447342119808