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26105710056 = 233231572271327
BaseRepresentation
bin11000010100000001…
…011000010111101000
32111101100111110212020
4120110001120113220
5411431030210211
615554235544440
71612631605566
oct302401302750
974340443766
1026105710056
1110086aa1398
1250868bb120
13260063621a
141399170a36
15a2bcd5306
hex6140585e8

26105710056 has 128 divisors (see below), whose sum is σ = 68889415680. Its totient is φ = 8227904256.

The previous prime is 26105710031. The next prime is 26105710061. The reversal of 26105710056 is 65001750162.

It is a junction number, because it is equal to n+sod(n) for n = 26105709999 and 26105710026.

It is an unprimeable number.

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, 19672065 + ... + 19673391.

It is an arithmetic number, because the mean of its divisors is an integer number (538198560).

Almost surely, 226105710056 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 26105710056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34444707840).

26105710056 is an abundant number, since it is smaller than the sum of its proper divisors (42783705624).

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

26105710056 is a wasteful number, since it uses less digits than its factorization.

26105710056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 26105710056 in words is "twenty-six billion, one hundred five million, seven hundred ten thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 157 184 227 276 314 454 471 552 628 681 908 942 1256 1327 1362 1816 1884 2654 2724 3611 3768 3981 5221 5308 5448 7222 7962 10442 10616 10833 14444 15663 15924 20884 21666 28888 30521 31326 31848 35639 41768 43332 61042 62652 71278 86664 91563 106917 122084 125304 142556 183126 208339 213834 244168 285112 301229 366252 416678 427668 602458 625017 732504 819697 833356 855336 903687 1204916 1250034 1639394 1666712 1807374 2409832 2459091 2500068 3278788 3614748 4791797 4918182 5000136 6557576 6928267 7229496 9583594 9836364 13856534 14375391 19167188 19672728 20784801 27713068 28750782 38334376 41569602 47292953 55426136 57501564 83139204 94585906 115003128 141878859 166278408 189171812 283757718 378343624 567515436 1087737919 1135030872 2175475838 3263213757 4350951676 6526427514 8701903352 13052855028 26105710056