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12011442534 = 2347131923761
BaseRepresentation
bin10110010111111000…
…00001000101100110
31011000002122111120000
423023330001011212
5144044412130114
65303514522130
7603440401620
oct131374010546
934002574500
1012011442534
115104167613
1223b2736346
13119563cb60
1481d359c10
154a4780e09
hex2cbf01166

12011442534 has 480 divisors, whose sum is σ = 36494289216. Its totient is φ = 2872143360.

The previous prime is 12011442479. The next prime is 12011442587. The reversal of 12011442534 is 43524411021.

12011442534 is a `hidden beast` number, since 1 + 201 + 1 + 4 + 425 + 34 = 666.

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 = 12011442498 and 12011442507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 196908864 + ... + 196908924.

Almost surely, 212011442534 is an apocalyptic number.

12011442534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011442534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18247144608).

12011442534 is an abundant number, since it is smaller than the sum of its proper divisors (24482846682).

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

12011442534 is a wasteful number, since it uses less digits than its factorization.

12011442534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12011442534 its reverse (43524411021), we get a palindrome (55535853555).

The spelling of 12011442534 in words is "twelve billion, eleven million, four hundred forty-two thousand, five hundred thirty-four".