Search a number
-
+
112852996096 = 2122921812
BaseRepresentation
bin110100100011010010…
…0000001000000000000
3101210021220211012021011
41221012210001000000
53322110331333341
6123502143210304
711103413432221
oct1510644010000
9353256735234
10112852996096
1143951635325
1219a562a6994
13a8465c1189
145668081248
152e077eeb81
hex1a46901000

112852996096 has 117 divisors (see below), whose sum is σ = 235027254423. Its totient is φ = 54179758080.

The previous prime is 112852996093. The next prime is 112852996103. The reversal of 112852996096 is 690699258211.

The square root of 112852996096 is 335936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 41969258496 + 70883737600 = 204864^2 + 266240^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112852996096.

It is not an unprimeable number, because it can be changed into a prime (112852996093) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 623497126 + ... + 623497306.

Almost surely, 2112852996096 is an apocalyptic number.

112852996096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

112852996096 is the 335936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112852996096

112852996096 is an abundant number, since it is smaller than the sum of its proper divisors (122174258327).

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

112852996096 is an frugal number, since it uses more digits than its factorization.

112852996096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 58.

The spelling of 112852996096 in words is "one hundred twelve billion, eight hundred fifty-two million, nine hundred ninety-six thousand, ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 181 232 256 362 464 512 724 841 928 1024 1448 1682 1856 2048 2896 3364 3712 4096 5249 5792 6728 7424 10498 11584 13456 14848 20996 23168 26912 29696 32761 41992 46336 53824 59392 65522 83984 92672 107648 118784 131044 152221 167968 185344 215296 262088 304442 335936 370688 430592 524176 608884 671872 741376 861184 950069 1048352 1217768 1343744 1722368 1900138 2096704 2435536 2687488 3444736 3800276 4193408 4871072 5374976 7600552 8386816 9742144 10749952 15201104 16773632 19484288 21499904 27552001 30402208 33547264 38968576 55104002 60804416 67094528 77937152 110208004 121608832 134189056 155874304 220416008 243217664 311748608 440832016 486435328 623497216 881664032 972870656 1763328064 1945741312 3526656128 3891482624 7053312256 14106624512 28213249024 56426498048 112852996096