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4263264896 = 271117277643
BaseRepresentation
bin1111111000011100…
…0100001010000000
3102000010002021222212
43332013010022000
532212343434041
61543012321252
7210435103502
oct37607041200
912003067885
104263264896
111898558020
129ab913228
1352c329a67
142c62c3d72
1519e4298eb
hexfe1c4280

4263264896 has 128 divisors (see below), whose sum is σ = 9861082560. Its totient is φ = 1814446080.

The previous prime is 4263264881. The next prime is 4263264899. The reversal of 4263264896 is 6984623624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (4263264899) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6629951 + ... + 6630593.

Almost surely, 24263264896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4263264896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930541280).

4263264896 is an abundant number, since it is smaller than the sum of its proper divisors (5597817664).

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

4263264896 is a wasteful number, since it uses less digits than its factorization.

4263264896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 950 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 50.

The square root of 4263264896 is about 65293.6818995529. The cubic root of 4263264896 is about 1621.4893705386.

The spelling of 4263264896 in words is "four billion, two hundred sixty-three million, two hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 277 352 374 544 554 643 704 748 1088 1108 1286 1408 1496 2176 2216 2572 2992 3047 4432 4709 5144 5984 6094 7073 8864 9418 10288 10931 11968 12188 14146 17728 18836 20576 21862 23936 24376 28292 35456 37672 41152 43724 48752 51799 56584 75344 82304 87448 97504 103598 113168 120241 150688 174896 178111 195008 207196 226336 240482 301376 349792 356222 390016 414392 452672 480964 602752 699584 712444 828784 905344 961928 1399168 1424888 1657568 1923856 1959221 2849776 3027887 3315136 3847712 3918442 5699552 6055774 6630272 7695424 7836884 11399104 12111548 15390848 15673768 22798208 24223096 31347536 33306757 48446192 62695072 66613514 96892384 125390144 133227028 193784768 250780288 266454056 387569536 532908112 1065816224 2131632448 4263264896