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10741010856 = 233172310910501
BaseRepresentation
bin10100000000011011…
…01101000110101000
31000201120002212220220
422000031231012220
5133444144321411
64533453050040
7530113041312
oct120015550650
930646085826
1010741010856
114612025484
1220b9186920
131022388534
1473c7347b2
1542ce81b06
hex28036d1a8

10741010856 has 128 divisors (see below), whose sum is σ = 29943302400. Its totient is φ = 3193344000.

The previous prime is 10741010849. The next prime is 10741010857. The reversal of 10741010856 is 65801014701.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10741010857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017606 + ... + 1028106.

It is an arithmetic number, because the mean of its divisors is an integer number (233932050).

Almost surely, 210741010856 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 10741010856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14971651200).

10741010856 is an abundant number, since it is smaller than the sum of its proper divisors (19202291544).

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

10741010856 is a wasteful number, since it uses less digits than its factorization.

10741010856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10659 (or 10655 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 10741010856 in words is "ten billion, seven hundred forty-one million, ten thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 109 136 138 184 204 218 276 327 391 408 436 552 654 782 872 1173 1308 1564 1853 2346 2507 2616 3128 3706 4692 5014 5559 7412 7521 9384 10028 10501 11118 14824 15042 20056 21002 22236 30084 31503 42004 42619 44472 60168 63006 84008 85238 126012 127857 170476 178517 241523 252024 255714 340952 357034 483046 511428 535551 714068 724569 966092 1022856 1071102 1144609 1428136 1449138 1932184 2142204 2289218 2898276 3433827 4105891 4284408 4578436 5796552 6867654 8211782 9156872 12317673 13735308 16423564 19458353 24635346 26326007 27470616 32847128 38916706 49270692 52652014 58375059 77833412 78978021 98541384 105304028 116750118 155666824 157956042 210608056 233500236 315912084 447542119 467000472 631824168 895084238 1342626357 1790168476 2685252714 3580336952 5370505428 10741010856