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24000420102012 = 22322458512711717
BaseRepresentation
bin1010111010100000010001…
…00000111011111101111100
310010222102021112122121012200
411131100020200323331330
511121210330021231022
6123013350224231500
75024654532602154
oct535201040737574
9103872245577180
1024000420102012
117713580504552
12283753816b590
1310512cb13b733
145cd8ab2b5764
152b948cb75bac
hex15d40883bf7c

24000420102012 has 36 divisors (see below), whose sum is σ = 60667997729976. Its totient is φ = 8000104543200.

The previous prime is 24000420102007. The next prime is 24000420102013. The reversal of 24000420102012 is 21020102400042.

24000420102012 is a `hidden beast` number, since 2 + 40 + 0 + 0 + 420 + 1 + 0 + 201 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24000420102013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7494778 + ... + 10206494.

It is an arithmetic number, because the mean of its divisors is an integer number (1685222159166).

Almost surely, 224000420102012 is an apocalyptic number.

It is an amenable number.

24000420102012 is an abundant number, since it is smaller than the sum of its proper divisors (36667577627964).

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

24000420102012 is a wasteful number, since it uses less digits than its factorization.

24000420102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957578 (or 2957573 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 24000420102012 its reverse (21020102400042), we get a palindrome (45020522502054).

The spelling of 24000420102012 in words is "twenty-four trillion, four hundred twenty million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 245851 491702 737553 983404 1475106 2212659 2711717 2950212 4425318 5423434 8135151 8850636 10846868 16270302 24405453 32540604 48810906 97621812 666678336167 1333356672334 2000035008501 2666713344668 4000070017002 6000105025503 8000140034004 12000210051006 24000420102012