Search a number
-
+
26880457248 = 253296612
BaseRepresentation
bin11001000010001100…
…110011101000100000
32120101100022201012200
4121002030303220200
5420022344112443
620203153253200
71641060055011
oct310214635040
976340281180
1026880457248
1110444354427
125262264200
1326c4cb6b08
141430005008
15a74d1edd3
hex642333a20

26880457248 has 54 divisors (see below), whose sum is σ = 76449213477. Its totient is φ = 8959224960.

The previous prime is 26880457231. The next prime is 26880457277. The reversal of 26880457248 is 84275408862.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

26880457248 is a `hidden beast` number, since 2 + 68 + 8 + 0 + 4 + 572 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13826937744 + 13053519504 = 117588^2 + 114252^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=115932.

It is a junction number, because it is equal to n+sod(n) for n = 26880457194 and 26880457203.

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 8 ways as a sum of consecutive naturals, for example, 2777538 + ... + 2787198.

Almost surely, 226880457248 is an apocalyptic number.

It is an amenable number.

26880457248 is an abundant number, since it is smaller than the sum of its proper divisors (49568756229).

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

26880457248 is an frugal number, since it uses more digits than its factorization.

26880457248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19338 (or 9666 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 26880457248 in words is "twenty-six billion, eight hundred eighty million, four hundred fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 9661 19322 28983 38644 57966 77288 86949 115932 154576 173898 231864 309152 347796 463728 695592 927456 1391184 2782368 93334921 186669842 280004763 373339684 560009526 746679368 840014289 1120019052 1493358736 1680028578 2240038104 2986717472 3360057156 4480076208 6720114312 8960152416 13440228624 26880457248