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10388373683744 = 2571631669170473
BaseRepresentation
bin1001011100101011101101…
…0100101011111000100000
31100210010012121211120012102
42113022323110223320200
52330200342130334434
634032204124545532
72121351404236460
oct227127324537040
940703177746172
1010388373683744
113345759135991
1211b94053b22a8
135a4808b8b294
1427cb2b187ba0
1513035acd207e
hex972bb52be20

10388373683744 has 96 divisors (see below), whose sum is σ = 23531467236480. Its totient is φ = 4422169147392.

The previous prime is 10388373683707. The next prime is 10388373683789. The reversal of 10388373683744 is 44738637388301.

10388373683744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 60853292 + ... + 61023764.

It is an arithmetic number, because the mean of its divisors is an integer number (245119450380).

Almost surely, 210388373683744 is an apocalyptic number.

10388373683744 is a gapful number since it is divisible by the number (14) 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 10388373683744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11765733618240).

10388373683744 is an abundant number, since it is smaller than the sum of its proper divisors (13143093552736).

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

10388373683744 is a wasteful number, since it uses less digits than its factorization.

10388373683744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172322 (or 172314 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 65.

The spelling of 10388373683744 in words is "ten trillion, three hundred eighty-eight billion, three hundred seventy-three million, six hundred eighty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 163 224 326 652 1141 1304 1669 2282 2608 3338 4564 5216 6676 9128 11683 13352 18256 23366 26704 36512 46732 53408 93464 170473 186928 272047 340946 373856 544094 681892 1088188 1193311 1363784 1904329 2176376 2386622 2727568 3808658 4352752 4773244 5455136 7617316 8705504 9546488 15234632 19092976 27787099 30469264 38185952 55574198 60938528 111148396 194509693 222296792 284519437 389019386 444593584 569038874 778038772 889187168 1138077748 1556077544 1991636059 2276155496 3112155088 3983272118 4552310992 6224310176 7966544236 9104621984 15933088472 31866176944 46376668231 63732353888 92753336462 185506672924 324636677617 371013345848 649273355234 742026691696 1298546710468 1484053383392 2597093420936 5194186841872 10388373683744