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112481505344 = 26136110920333
BaseRepresentation
bin110100011000001101…
…0111001000001000000
3101202100000210111202102
41220300122321001000
53320330231132334
6123401233005532
711061253006625
oct1506032710100
9352300714672
10112481505344
114378097187a
12199719b38a8
13a7b7652170
1456309bc34c
152dd4dbd67e
hex1a306b9040

112481505344 has 112 divisors (see below), whose sum is σ = 246569270640. Its totient is φ = 50592522240.

The previous prime is 112481505343. The next prime is 112481505403. The reversal of 112481505344 is 443505184211.

It can be written as a sum of positive squares in 8 ways, for example, as 1005650944 + 111475854400 = 31712^2 + 333880^2 .

It is a junction number, because it is equal to n+sod(n) for n = 112481505298 and 112481505307.

It is not an unprimeable number, because it can be changed into a prime (112481505341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5521802 + ... + 5542134.

It is an arithmetic number, because the mean of its divisors is an integer number (2201511345).

Almost surely, 2112481505344 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 112481505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123284635320).

112481505344 is an abundant number, since it is smaller than the sum of its proper divisors (134087765296).

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

112481505344 is a wasteful number, since it uses less digits than its factorization.

112481505344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20528 (or 20518 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

Adding to 112481505344 its reverse (443505184211), we get a palindrome (555986689555).

The spelling of 112481505344 in words is "one hundred twelve billion, four hundred eighty-one million, five hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 109 122 208 218 244 416 436 488 793 832 872 976 1417 1586 1744 1952 2834 3172 3488 3904 5668 6344 6649 6976 11336 12688 13298 20333 22672 25376 26596 40666 45344 50752 53192 81332 86437 90688 106384 162664 172874 212768 264329 325328 345748 425536 528658 650656 691496 1057316 1240313 1301312 1382992 2114632 2216297 2480626 2765984 4229264 4432594 4961252 5531968 8458528 8865188 9922504 16124069 16917056 17730376 19845008 28811861 32248138 35460752 39690016 57623722 64496276 70921504 79380032 115247444 128992552 135194117 141843008 230494888 257985104 270388234 460989776 515970208 540776468 921979552 1031940416 1081552936 1757523521 1843959104 2163105872 3515047042 4326211744 7030094084 8652423488 14060188168 28120376336 56240752672 112481505344