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12234441492 = 223271341791153
BaseRepresentation
bin10110110010011101…
…01100001100010100
31011120122021000121200
423121032230030110
5200024004111432
65342002312500
7612116015430
oct133116541424
934518230550
1012234441492
115209028a79
122455358730
1311cc8ba5c0
14840c079c0
154b912ea7c
hex2d93ac314

12234441492 has 288 divisors, whose sum is σ = 39518868480. Its totient is φ = 3105423360.

The previous prime is 12234441491. The next prime is 12234441539. The reversal of 12234441492 is 29414443221.

12234441492 is a `hidden beast` number, since 1 + 2 + 234 + 4 + 414 + 9 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12234441491) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10610388 + ... + 10611540.

Almost surely, 212234441492 is an apocalyptic number.

12234441492 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 12234441492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19759434240).

12234441492 is an abundant number, since it is smaller than the sum of its proper divisors (27284426988).

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

12234441492 is a wasteful number, since it uses less digits than its factorization.

12234441492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1298 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 12234441492 in words is "twelve billion, two hundred thirty-four million, four hundred forty-one thousand, four hundred ninety-two".