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113852748768 = 25311221114643
BaseRepresentation
bin110101000001000100…
…1110001001111100000
3101212212121000220002220
41222002021301033200
53331132300430033
6124145255311040
711140243253103
oct1520211611740
9355777026086
10113852748768
11443149aa300
121a09507b480
13a9757728c5
145720b6673a
152e65482bb3
hex1a822713e0

113852748768 has 144 divisors (see below), whose sum is σ = 328729218048. Its totient is φ = 34477062400.

The previous prime is 113852748761. The next prime is 113852748781. The reversal of 113852748768 is 867847258311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113852748761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24519055 + ... + 24523697.

It is an arithmetic number, because the mean of its divisors is an integer number (2282841792).

Almost surely, 2113852748768 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 113852748768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164364609024).

113852748768 is an abundant number, since it is smaller than the sum of its proper divisors (214876469280).

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

113852748768 is a wasteful number, since it uses less digits than its factorization.

113852748768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6789 (or 6770 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 60.

The spelling of 113852748768 in words is "one hundred thirteen billion, eight hundred fifty-two million, seven hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2111 2904 3872 4222 4643 5808 6333 8444 9286 11616 12666 13929 16888 18572 23221 25332 27858 33776 37144 46442 50664 51073 55716 67552 69663 74288 92884 101328 102146 111432 139326 148576 153219 185768 202656 204292 222864 255431 278652 306438 371536 408584 445728 510862 557304 561803 612876 743072 766293 817168 1021724 1114608 1123606 1225752 1532586 1634336 1685409 2043448 2229216 2247212 2451504 3065172 3370818 4086896 4494424 4903008 6130344 6741636 8173792 8988848 9801373 12260688 13483272 17977696 19602746 24521376 26966544 29404119 39205492 53933088 58808238 78410984 107815103 117616476 156821968 215630206 235232952 313643936 323445309 431260412 470465904 646890618 862520824 940931808 1185966133 1293781236 1725041648 2371932266 2587562472 3450083296 3557898399 4743864532 5175124944 7115796798 9487729064 10350249888 14231593596 18975458128 28463187192 37950916256 56926374384 113852748768