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10718245408 = 2513175212909
BaseRepresentation
bin10011111101101101…
…10111001000100000
31000122222021021121011
421332312313020200
5133422332323113
64531321110304
7526415403613
oct117666671040
930588237534
1010718245408
114600196462
1220b1628394
13101a747460
147396ca17a
1542ae8663d
hex27edb7220

10718245408 has 96 divisors (see below), whose sum is σ = 24115961520. Its totient is φ = 4645355520.

The previous prime is 10718245361. The next prime is 10718245427. The reversal of 10718245408 is 80454281701.

It can be written as a sum of positive squares in 8 ways, for example, as 5877982224 + 4840263184 = 76668^2 + 69572^2 .

It is a super-2 number, since 2×107182454082 (a number of 21 digits) contains 22 as substring.

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, 3683058 + ... + 3685966.

Almost surely, 210718245408 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 10718245408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12057980760).

10718245408 is an abundant number, since it is smaller than the sum of its proper divisors (13397716112).

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

10718245408 is a wasteful number, since it uses less digits than its factorization.

10718245408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3470 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The spelling of 10718245408 in words is "ten billion, seven hundred eighteen million, two hundred forty-five thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 521 544 884 1042 1768 2084 2909 3536 4168 5818 6773 7072 8336 8857 11636 13546 16672 17714 23272 27092 35428 37817 46544 49453 54184 70856 75634 93088 98906 108368 115141 141712 151268 197812 216736 230282 283424 302536 395624 460564 605072 642889 791248 921128 1210144 1285778 1515589 1582496 1842256 2571556 3031178 3684512 5143112 6062356 10286224 12124712 19702657 20572448 24249424 25765013 39405314 48498848 51530026 78810628 103060052 157621256 206120104 315242512 334945169 412240208 630485024 669890338 824480416 1339780676 2679561352 5359122704 10718245408