Search a number
-
+
113262538368 = 273783507667
BaseRepresentation
bin110100101111011111…
…0010010111010000000
3101211100110110002122110
41221132332102322000
53323430202211433
6124010533135320
711116515456060
oct1513676227200
9354313402573
10113262538368
1144041828511
1219b4b48a540
13a8b03c3b95
1456a660b3a0
152e2d74a963
hex1a5ef92e80

113262538368 has 128 divisors (see below), whose sum is σ = 347975953920. Its totient is φ = 31970774016.

The previous prime is 113262538357. The next prime is 113262538429. The reversal of 113262538368 is 863835262311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30730 + ... + 476937.

It is an arithmetic number, because the mean of its divisors is an integer number (2718562140).

Almost surely, 2113262538368 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 113262538368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173987976960).

113262538368 is an abundant number, since it is smaller than the sum of its proper divisors (234713415552).

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

113262538368 is an equidigital number, since it uses as much as digits as its factorization.

113262538368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507774 (or 507762 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The spelling of 113262538368 in words is "one hundred thirteen billion, two hundred sixty-two million, five hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 83 84 96 112 128 166 168 192 224 249 332 336 384 448 498 581 664 672 896 996 1162 1328 1344 1743 1992 2324 2656 2688 3486 3984 4648 5312 6972 7968 9296 10624 13944 15936 18592 27888 31872 37184 55776 74368 111552 223104 507667 1015334 1523001 2030668 3046002 3553669 4061336 6092004 7107338 8122672 10661007 12184008 14214676 16245344 21322014 24368016 28429352 32490688 42136361 42644028 48736032 56858704 64981376 84272722 85288056 97472064 113717408 126409083 168545444 170576112 194944128 227434816 252818166 294954527 337090888 341152224 454869632 505636332 589909054 674181776 682304448 884863581 1011272664 1179818108 1348363552 1364608896 1769727162 2022545328 2359636216 2696727104 3539454324 4045090656 4719272432 5393454208 7078908648 8090181312 9438544864 14157817296 16180362624 18877089728 28315634592 37754179456 56631269184 113262538368