Search a number
-
+
26434120224 = 253594667041
BaseRepresentation
bin11000100111100110…
…001010101000100000
32112020020110102220210
4120213212022220200
5413114113321344
620051010534120
71624030212621
oct304746125040
975206412823
1026434120224
111023540a856
125158897340
1326536a0475
1413caa1ba48
15a4aa56db9
hex62798aa20

26434120224 has 48 divisors (see below), whose sum is σ = 70565675040. Its totient is φ = 8662026240.

The previous prime is 26434120211. The next prime is 26434120241. The reversal of 26434120224 is 42202143462.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 26434120191 and 26434120200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2327857 + ... + 2339184.

It is an arithmetic number, because the mean of its divisors is an integer number (1470118230).

Almost surely, 226434120224 is an apocalyptic number.

26434120224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

26434120224 is an abundant number, since it is smaller than the sum of its proper divisors (44131554816).

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

26434120224 is a wasteful number, since it uses less digits than its factorization.

26434120224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4667113 (or 4667105 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 26434120224 its reverse (42202143462), we get a palindrome (68636263686).

The spelling of 26434120224 in words is "twenty-six billion, four hundred thirty-four million, one hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 4667041 9334082 14001123 18668164 28002246 37336328 56004492 74672656 112008984 149345312 224017968 275355419 448035936 550710838 826066257 1101421676 1652132514 2202843352 3304265028 4405686704 6608530056 8811373408 13217060112 26434120224