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112083048450 = 23252853291997
BaseRepresentation
bin110100001100010101…
…0111001100000000010
3101201022021000210122200
41220120222321200002
53314021230022300
6123253520414030
711045344123002
oct1503052714002
9351267023580
10112083048450
1143596a6025a
1219880477316
13a752c31059
1455d3ada002
152daee12200
hex1a18ab9802

112083048450 has 72 divisors (see below), whose sum is σ = 301483847028. Its totient is φ = 29853671040.

The previous prime is 112083048443. The next prime is 112083048461. The reversal of 112083048450 is 54840380211.

112083048450 is a `hidden beast` number, since 1 + 120 + 8 + 3 + 0 + 484 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 13003525089 + 99079523361 = 114033^2 + 314769^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 237852 + ... + 529848.

Almost surely, 2112083048450 is an apocalyptic number.

112083048450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112083048450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150741923514).

112083048450 is an abundant number, since it is smaller than the sum of its proper divisors (189400798578).

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

112083048450 is a wasteful number, since it uses less digits than its factorization.

112083048450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292868 (or 292860 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 112083048450 in words is "one hundred twelve billion, eighty-three million, forty-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 853 1706 2559 4265 5118 7677 8530 12795 15354 21325 25590 38385 42650 63975 76770 127950 191925 291997 383850 583994 875991 1459985 1751982 2627973 2919970 4379955 5255946 7299925 8759910 13139865 14599850 21899775 26279730 43799550 65699325 131398650 249073441 498146882 747220323 1245367205 1494440646 2241660969 2490734410 3736101615 4483321938 6226836025 7472203230 11208304845 12453672050 18680508075 22416609690 37361016150 56041524225 112083048450