Search a number
-
+
11707797312 = 263241495757
BaseRepresentation
bin10101110011101011…
…01100111101000000
31010012221021201121200
422321311230331000
5142434144003222
65213430421200
7563062430601
oct127165547500
933187251550
1011707797312
114a68823452
122328b01800
131147766b23
147d0cb7da8
15487ca1eac
hex2b9d6cf40

11707797312 has 84 divisors (see below), whose sum is σ = 34376851236. Its totient is φ = 3807406080.

The previous prime is 11707797307. The next prime is 11707797313. The reversal of 11707797312 is 21379770711.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6050350656 + 5657446656 = 77784^2 + 75216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11707797313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224263 + ... + 271494.

It is an arithmetic number, because the mean of its divisors is an integer number (409248229).

Almost surely, 211707797312 is an apocalyptic number.

11707797312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11707797312 is an abundant number, since it is smaller than the sum of its proper divisors (22669053924).

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

11707797312 is a wasteful number, since it uses less digits than its factorization.

11707797312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495816 (or 495803 counting only the distinct ones).

The product of its (nonzero) digits is 129654, while the sum is 45.

The spelling of 11707797312 in words is "eleven billion, seven hundred seven million, seven hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 984 1312 1476 1968 2624 2952 3936 5904 7872 11808 23616 495757 991514 1487271 1983028 2974542 3966056 4461813 5949084 7932112 8923626 11898168 15864224 17847252 20326037 23796336 31728448 35694504 40652074 47592672 60978111 71389008 81304148 95185344 121956222 142778016 162608296 182934333 243912444 285556032 325216592 365868666 487824888 650433184 731737332 975649776 1300866368 1463474664 1951299552 2926949328 3902599104 5853898656 11707797312