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112354830592 = 285322936161
BaseRepresentation
bin110100010100011011…
…1101010100100000000
3101202000012102202122221
41220220313222210000
53320100314034332
6123340505540424
711055154205524
oct1505067524400
9352005382587
10112354830592
11437164111a4
12199374a4714
13a79732c0a4
14561bc45d84
152dc8bea297
hex1a28dea900

112354830592 has 72 divisors (see below), whose sum is σ = 229506472440. Its totient is φ = 54875258880.

The previous prime is 112354830571. The next prime is 112354830593. The reversal of 112354830592 is 295038453211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 71815424256 + 40539406336 = 267984^2 + 201344^2 .

It is not an unprimeable number, because it can be changed into a prime (112354830593) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3088992 + ... + 3125152.

It is an arithmetic number, because the mean of its divisors is an integer number (3187589895).

Almost surely, 2112354830592 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 112354830592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114753236220).

112354830592 is an abundant number, since it is smaller than the sum of its proper divisors (117151641848).

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

112354830592 is an equidigital number, since it uses as much as digits as its factorization.

112354830592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36459 (or 36445 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 112354830592 in words is "one hundred twelve billion, three hundred fifty-four million, eight hundred thirty thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 229 256 424 458 848 916 1696 1832 3392 3664 6784 7328 12137 13568 14656 24274 29312 36161 48548 58624 72322 97096 144644 194192 289288 388384 578576 776768 1157152 1553536 1916533 2314304 3107072 3833066 4628608 7666132 8280869 9257216 15332264 16561738 30664528 33123476 61329056 66246952 122658112 132493904 245316224 264987808 438886057 490632448 529975616 877772114 1059951232 1755544228 2119902464 3511088456 7022176912 14044353824 28088707648 56177415296 112354830592