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26875012096 = 2104721092
BaseRepresentation
bin11001000001111000…
…000010010000000000
32120100222002001212101
4121001320002100000
5420020000341341
620202440440144
71640662555642
oct310170022000
976328061771
1026875012096
11104412753a9
125260479054
1326c3b2b52a
14142d3c8892
15a745e6831
hex641e02400

26875012096 has 99 divisors (see below), whose sum is σ = 55399367289. Its totient is φ = 13030944768.

The previous prime is 26875012091. The next prime is 26875012103. The reversal of 26875012096 is 69021057862.

The square root of 26875012096 is 163936.

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

It can be written as a sum of positive squares in only one way, i.e., 18731754496 + 8143257600 = 136864^2 + 90240^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26875012091) 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, 246559690 + ... + 246559798.

Almost surely, 226875012096 is an apocalyptic number.

26875012096 is the 163936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26875012096

26875012096 is an abundant number, since it is smaller than the sum of its proper divisors (28524355193).

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

26875012096 is an frugal number, since it uses more digits than its factorization.

26875012096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 26875012096 in words is "twenty-six billion, eight hundred seventy-five million, twelve thousand, ninety-six".

Divisors: 1 2 4 8 16 32 47 64 94 109 128 188 218 256 376 436 512 752 872 1024 1504 1744 2209 3008 3488 4418 5123 6016 6976 8836 10246 11881 12032 13952 17672 20492 23762 24064 27904 35344 40984 47524 48128 55808 70688 81968 95048 111616 141376 163936 190096 240781 282752 327872 380192 481562 558407 565504 655744 760384 963124 1116814 1131008 1311488 1520768 1926248 2233628 2262016 2622976 3041536 3852496 4467256 5245952 6083072 7704992 8934512 12166144 15409984 17869024 26245129 30819968 35738048 52490258 61639936 71476096 104980516 123279872 142952192 209961032 246559744 285904384 419922064 571808768 839844128 1679688256 3359376512 6718753024 13437506048 26875012096