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12046494720 = 2103513234361
BaseRepresentation
bin10110011100000011…
…01110110000000000
31011002112121100010010
423032001232300000
5144132400312340
65311210104520
7604344341601
oct131601566000
934075540103
1012046494720
115121a28867
12240241b140
13119c9935b0
14823c81da8
154a78a6b80
hex2ce06ec00

12046494720 has 704 divisors, whose sum is σ = 45031117824. Its totient is φ = 2724986880.

The previous prime is 12046494689. The next prime is 12046494721. The reversal of 12046494720 is 2749464021.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (12046494721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197483490 + ... + 197483550.

It is an arithmetic number, because the mean of its divisors is an integer number (63964656).

Almost surely, 212046494720 is an apocalyptic number.

12046494720 is a gapful number since it is divisible by the number (10) 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 12046494720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22515558912).

12046494720 is an abundant number, since it is smaller than the sum of its proper divisors (32984623104).

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

12046494720 is a wasteful number, since it uses less digits than its factorization.

12046494720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 12046494720 in words is "twelve billion, forty-six million, four hundred ninety-four thousand, seven hundred twenty".