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264960260096 = 211720299109
BaseRepresentation
bin1111011011000011011…
…1001011100000000000
3221022220112110210220112
43312300313023200000
513320114311310341
6321415425530452
725066651023260
oct3666067134000
9838815423815
10264960260096
11a2407183074
12434267a3a28
131bca76028bc
14cb7764d7a0
156d5b3cdaeb
hex3db0dcb800

264960260096 has 96 divisors (see below), whose sum is σ = 605840508000. Its totient is φ = 113485971456.

The previous prime is 264960260087. The next prime is 264960260161. The reversal of 264960260096 is 690062069462.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29083190 + ... + 29092298.

It is an arithmetic number, because the mean of its divisors is an integer number (6310838625).

Almost surely, 2264960260096 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 264960260096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302920254000).

264960260096 is an abundant number, since it is smaller than the sum of its proper divisors (340880247904).

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

264960260096 is an equidigital number, since it uses as much as digits as its factorization.

264960260096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11167 (or 11147 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 50.

The spelling of 264960260096 in words is "two hundred sixty-four billion, nine hundred sixty million, two hundred sixty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2029 2048 3584 4058 7168 8116 9109 14203 14336 16232 18218 28406 32464 36436 56812 63763 64928 72872 113624 127526 129856 145744 227248 255052 259712 291488 454496 510104 519424 582976 908992 1020208 1038848 1165952 1817984 2040416 2077696 2331904 3635968 4080832 4155392 4663808 7271936 8161664 9327616 14543872 16323328 18482161 18655232 29087744 32646656 36964322 65293312 73928644 129375127 130586624 147857288 258750254 295714576 517500508 591429152 1035001016 1182858304 2070002032 2365716608 4140004064 4731433216 8280008128 9462866432 16560016256 18925732864 33120032512 37851465728 66240065024 132480130048 264960260096