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112450452032 = 2641268915937
BaseRepresentation
bin110100010111010010…
…0011011101001000000
3101202020212100211121202
41220232210123221000
53320244303431112
6123354203240332
711060425033322
oct1505644335100
9352225324552
10112450452032
1143765391a86
12199635190a8
13a7b109b919
14562a817612
152dd22d76c2
hex1a2e91ba40

112450452032 has 56 divisors (see below), whose sum is σ = 228685755480. Its totient is φ = 54830039040.

The previous prime is 112450452011. The next prime is 112450452077. The reversal of 112450452032 is 230254054211.

It can be written as a sum of positive squares in 4 ways, for example, as 771506176 + 111678945856 = 27776^2 + 334184^2 .

It is a super-2 number, since 2×1124504520322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112450451986 and 112450452004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7047968 + ... + 7063904.

It is an arithmetic number, because the mean of its divisors is an integer number (4083674205).

Almost surely, 2112450452032 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 112450452032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114342877740).

112450452032 is an abundant number, since it is smaller than the sum of its proper divisors (116235303448).

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

112450452032 is a wasteful number, since it uses less digits than its factorization.

112450452032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18679 (or 18669 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The spelling of 112450452032 in words is "one hundred twelve billion, four hundred fifty million, four hundred fifty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 2689 5378 10756 15937 21512 31874 43024 63748 86048 110249 127496 172096 220498 254992 440996 509984 653417 881992 1019968 1306834 1763984 2613668 3527968 5227336 7055936 10454672 20909344 41818688 42854593 85709186 171418372 342836744 685673488 1371346976 1757038313 2742693952 3514076626 7028153252 14056306504 28112613008 56225226016 112450452032