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112359449856 = 2832337171917
BaseRepresentation
bin110100010100100100…
…1010010010100000000
3101202000112010110002210
41220221021102110000
53320103004343411
6123341152542120
711055241365003
oct1505111222400
9352015113083
10112359449856
1143718a86775
1219938b51940
13a798288794
14561c6c953a
152dc930dca6
hex1a29252500

112359449856 has 144 divisors (see below), whose sum is σ = 320477157504. Its totient is φ = 34856312832.

The previous prime is 112359449791. The next prime is 112359449863. The reversal of 112359449856 is 658944953211.

It is a junction number, because it is equal to n+sod(n) for n = 112359449796 and 112359449805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567610 + ... + 739526.

It is an arithmetic number, because the mean of its divisors is an integer number (2225535816).

Almost surely, 2112359449856 is an apocalyptic number.

112359449856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112359449856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160238578752).

112359449856 is an abundant number, since it is smaller than the sum of its proper divisors (208117707648).

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

112359449856 is a wasteful number, since it uses less digits than its factorization.

112359449856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171996 (or 171982 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 57.

The spelling of 112359449856 in words is "one hundred twelve billion, three hundred fifty-nine million, four hundred forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 37 46 48 64 69 74 92 96 111 128 138 148 184 192 222 256 276 296 368 384 444 552 592 736 768 851 888 1104 1184 1472 1702 1776 2208 2368 2553 2944 3404 3552 4416 4736 5106 5888 6808 7104 8832 9472 10212 13616 14208 17664 20424 27232 28416 40848 54464 81696 108928 163392 171917 217856 326784 343834 515751 653568 687668 1031502 1375336 2063004 2750672 3954091 4126008 5501344 6360929 7908182 8252016 11002688 11862273 12721858 15816364 16504032 19082787 22005376 23724546 25443716 31632728 33008064 38165574 44010752 47449092 50887432 63265456 66016128 76331148 94898184 101774864 126530912 132032256 146301367 152662296 189796368 203549728 253061824 292602734 305324592 379592736 407099456 438904101 506123648 585205468 610649184 759185472 814198912 877808202 1012247296 1170410936 1221298368 1518370944 1628397824 1755616404 2340821872 2442596736 3036741888 3511232808 4681643744 4885193472 7022465616 9363287488 14044931232 18726574976 28089862464 37453149952 56179724928 112359449856