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11338696448 = 28176314129
BaseRepresentation
bin10101000111101011…
…01100011100000000
31002021012202110102022
422203311230130000
5141210201241243
65113043341012
7550661221022
oct124365543400
932235673368
1011338696448
114899442512
122245381768
1310b9153851
14797c78012
15465693b68
hex2a3d6c700

11338696448 has 72 divisors (see below), whose sum is σ = 24008251680. Its totient is φ = 5326110720.

The previous prime is 11338696433. The next prime is 11338696459. The reversal of 11338696448 is 84469683311.

It is a self number, because there is not a number n which added to its sum of digits gives 11338696448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2744048 + ... + 2748176.

It is an arithmetic number, because the mean of its divisors is an integer number (333447940).

Almost surely, 211338696448 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 11338696448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12004125840).

11338696448 is an abundant number, since it is smaller than the sum of its proper divisors (12669555232).

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

11338696448 is an equidigital number, since it uses as much as digits as its factorization.

11338696448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4793 (or 4779 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 53.

The spelling of 11338696448 in words is "eleven billion, three hundred thirty-eight million, six hundred ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 631 1088 1262 2176 2524 4129 4352 5048 8258 10096 10727 16516 20192 21454 33032 40384 42908 66064 70193 80768 85816 132128 140386 161536 171632 264256 280772 343264 528512 561544 686528 1057024 1123088 1373056 2246176 2605399 2746112 4492352 5210798 8984704 10421596 17969408 20843192 41686384 44291783 83372768 88583566 166745536 177167132 333491072 354334264 666982144 708668528 1417337056 2834674112 5669348224 11338696448