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26146770560 = 27540854329
BaseRepresentation
bin11000010110011110…
…000000111010000000
32111111012202120021122
4120112132000322000
5412022033124220
620002304011412
71613640611531
oct302636007200
974435676248
1026146770560
11100a8196799
125098600b68
132608cb1691
1413a07bc688
15a306e6425
hex616780e80

26146770560 has 32 divisors (see below), whose sum is σ = 62507124900. Its totient is φ = 10458707968.

The previous prime is 26146770521. The next prime is 26146770613. The reversal of 26146770560 is 6507764162.

It can be written as a sum of positive squares in 2 ways, for example, as 21674906176 + 4471864384 = 147224^2 + 66872^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×261467705602 (a number of 22 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 20426525 + ... + 20427804.

Almost surely, 226146770560 is an apocalyptic number.

26146770560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26146770560 is an abundant number, since it is smaller than the sum of its proper divisors (36360354340).

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

26146770560 is an equidigital number, since it uses as much as digits as its factorization.

26146770560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40854348 (or 40854336 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 26146770560 in words is "twenty-six billion, one hundred forty-six million, seven hundred seventy thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 40854329 81708658 163417316 204271645 326834632 408543290 653669264 817086580 1307338528 1634173160 2614677056 3268346320 5229354112 6536692640 13073385280 26146770560