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11806312448 = 21178
BaseRepresentation
bin10101111111011011…
…00000100000000000
31010110210122210222102
422333231200200000
5143134403444243
65231310125532
7565400000000
oct127755404000
933423583872
1011806312448
1150093a0317
122355ab08a8
131161caa7c8
14800000000
154917619b8
hex2bfb60800

11806312448 has 108 divisors (see below), whose sum is σ = 27541336095. Its totient is φ = 5059848192.

The previous prime is 11806312393. The next prime is 11806312471. The reversal of 11806312448 is 84421360811.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 5903156224 + 5903156224 = 76832^2 + 76832^2 .

It is an ABA number since it can be written as A⋅BA, here for A=8, B=14.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1686616061 + ... + 1686616067.

Almost surely, 211806312448 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 11806312448

11806312448 is an abundant number, since it is smaller than the sum of its proper divisors (15735023647).

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

11806312448 is an frugal number, since it uses more digits than its factorization.

11806312448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The spelling of 11806312448 in words is "eleven billion, eight hundred six million, three hundred twelve thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 686 784 896 1024 1372 1568 1792 2048 2401 2744 3136 3584 4802 5488 6272 7168 9604 10976 12544 14336 16807 19208 21952 25088 33614 38416 43904 50176 67228 76832 87808 100352 117649 134456 153664 175616 235298 268912 307328 351232 470596 537824 614656 702464 823543 941192 1075648 1229312 1647086 1882384 2151296 2458624 3294172 3764768 4302592 4917248 5764801 6588344 7529536 8605184 11529602 13176688 15059072 17210368 23059204 26353376 30118144 34420736 46118408 52706752 60236288 92236816 105413504 120472576 184473632 210827008 240945152 368947264 421654016 737894528 843308032 1475789056 1686616064 2951578112 5903156224 11806312448