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12446516401 = 112349195717
BaseRepresentation
bin10111001011101111…
…01100010010110001
31012010102022112200221
423211313230102301
5200442302011101
65415020013041
7620302433554
oct134567542261
935112275627
1012446516401
115307808aa0
1224b4391181
131234811a07
1486105069b
154cca71aa1
hex2e5dec4b1

12446516401 has 8 divisors (see below), whose sum is σ = 14168366784. Its totient is φ = 10823057520.

The previous prime is 12446516393. The next prime is 12446516413. The reversal of 12446516401 is 10461564421.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12446516401 - 23 = 12446516393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12446516431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24597606 + ... + 24598111.

It is an arithmetic number, because the mean of its divisors is an integer number (1771045848).

Almost surely, 212446516401 is an apocalyptic number.

12446516401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12446516401 is a deficient number, since it is larger than the sum of its proper divisors (1721850383).

12446516401 is a wasteful number, since it uses less digits than its factorization.

12446516401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49195751.

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 12446516401 in words is "twelve billion, four hundred forty-six million, five hundred sixteen thousand, four hundred one".

Divisors: 1 11 23 253 49195717 541152887 1131501491 12446516401