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12018834432 = 21035114391
BaseRepresentation
bin10110011000110000…
…01101110000000000
31011000121120001100000
423030120031300000
5144103310200212
65304341200000
7603560256423
oct131430156000
934017501300
1012018834432
115108356220
1223b5100000
13119702a567
148203219ba
154a52411dc
hex2cc60dc00

12018834432 has 264 divisors, whose sum is σ = 39270172032. Its totient is φ = 3641241600.

The previous prime is 12018834419. The next prime is 12018834469. The reversal of 12018834432 is 23443881021.

It is a happy number.

12018834432 is a `hidden beast` number, since 1 + 201 + 8 + 8 + 3 + 443 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×120188344322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2734957 + ... + 2739347.

Almost surely, 212018834432 is an apocalyptic number.

12018834432 is a gapful number since it is divisible by the number (12) 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 12018834432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19635086016).

12018834432 is an abundant number, since it is smaller than the sum of its proper divisors (27251337600).

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

12018834432 is an equidigital number, since it uses as much as digits as its factorization.

12018834432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4437 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 12018834432 in words is "twelve billion, eighteen million, eight hundred thirty-four thousand, four hundred thirty-two".