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26890752256 = 283722772
BaseRepresentation
bin11001000010110100…
…000101000100000000
32120102001200202022021
4121002310011010000
5420033013033011
620204202051224
71641243423424
oct310264050400
976361622267
1026890752256
111044a1461a5
1252657a9b14
1326c717ca34
141431524b84
15a75ba5471
hex642d05100

26890752256 has 81 divisors (see below), whose sum is σ = 55366261839. Its totient is φ = 13034760192.

The previous prime is 26890752253. The next prime is 26890752257. The reversal of 26890752256 is 65225709862.

The square root of 26890752256 is 163984.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 256512256 + 26634240000 = 16016^2 + 163200^2 .

It is a super-2 number, since 2×268907522562 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26890752253) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 97078390 + ... + 97078666.

Almost surely, 226890752256 is an apocalyptic number.

26890752256 is the 163984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26890752256

26890752256 is an abundant number, since it is smaller than the sum of its proper divisors (28475509583).

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

26890752256 is an frugal number, since it uses more digits than its factorization.

26890752256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 26890752256 in words is "twenty-six billion, eight hundred ninety million, seven hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 277 296 554 592 1108 1184 1369 2216 2368 2738 4432 4736 5476 8864 9472 10249 10952 17728 20498 21904 35456 40996 43808 70912 76729 81992 87616 153458 163984 175232 306916 327968 350464 379213 613832 655936 758426 1227664 1311872 1516852 2455328 2623744 2838973 3033704 4910656 5677946 6067408 9821312 11355892 12134816 19642624 22711784 24269632 45423568 48539264 90847136 97078528 105042001 181694272 210084002 363388544 420168004 726777088 840336008 1680672016 3361344032 6722688064 13445376128 26890752256