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1296196704 = 253211409153
BaseRepresentation
bin100110101000010…
…0110010001100000
310100100000121121100
41031100212101200
510123311243304
6332341554400
744056330065
oct11520462140
93310017540
101296196704
1160573a850
12302115a00
13178705aca
14c4210c6c
1578bdd439
hex4d426460

1296196704 has 72 divisors (see below), whose sum is σ = 4021165512. Its totient is φ = 392785920.

The previous prime is 1296196679. The next prime is 1296196721. The reversal of 1296196704 is 4076916921.

1296196704 is a `hidden beast` number, since 1 + 29 + 619 + 6 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×12961967043 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1296196704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201409 + ... + 207744.

It is an arithmetic number, because the mean of its divisors is an integer number (55849521).

Almost surely, 21296196704 is an apocalyptic number.

It is an amenable number.

1296196704 is an abundant number, since it is smaller than the sum of its proper divisors (2724968808).

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

1296196704 is a wasteful number, since it uses less digits than its factorization.

1296196704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409180 (or 409169 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1296196704 is about 36002.7318963436. The cubic root of 1296196704 is about 1090.3275126140.

The spelling of 1296196704 in words is "one billion, two hundred ninety-six million, one hundred ninety-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 409153 818306 1227459 1636612 2454918 3273224 3682377 4500683 4909836 6546448 7364754 9001366 9819672 13092896 13502049 14729508 18002732 19639344 27004098 29459016 36005464 39278688 40506147 54008196 58918032 72010928 81012294 108016392 117836064 144021856 162024588 216032784 324049176 432065568 648098352 1296196704