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2118042432 = 2636114127
BaseRepresentation
bin111111000111110…
…1100001101000000
312110121110201000000
41332033230031000
513314204324212
6550101000000
7103326030552
oct17617541500
95417421000
102118042432
119976416a0
124b13b3000
13279a6725c
141614254d2
15c5e2d1dc
hex7e3ec340

2118042432 has 196 divisors, whose sum is σ = 6876141696. Its totient is φ = 641675520.

The previous prime is 2118042403. The next prime is 2118042439. The reversal of 2118042432 is 2342408112.

It is a super-2 number, since 2×21180424322 = 8972207487504949248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2118042396 and 2118042405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2118042439) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 511153 + ... + 515279.

Almost surely, 22118042432 is an apocalyptic number.

2118042432 is a gapful number since it is divisible by the number (22) 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 2118042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438070848).

2118042432 is an abundant number, since it is smaller than the sum of its proper divisors (4758099264).

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

2118042432 is an equidigital number, since it uses as much as digits as its factorization.

2118042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4168 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2118042432 is about 46022.1949932856. The cubic root of 2118042432 is about 1284.2361344031.

The spelling of 2118042432 in words is "two billion, one hundred eighteen million, forty-two thousand, four hundred thirty-two".