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12433201024 = 27474214909
BaseRepresentation
bin10111001010001001…
…11001011110000000
31012002111021001102211
423211010321132000
5200430344413044
65413422351504
7620051315326
oct134504713600
935074231384
1012433201024
115300243a52
1224aba2b594
131231b2c0aa
1485d385d16
154cb7e1634
hex2e5139780

12433201024 has 64 divisors (see below), whose sum is σ = 25361524800. Its totient is φ = 6068643840.

The previous prime is 12433201013. The next prime is 12433201037. The reversal of 12433201024 is 42010233421.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12433200986 and 12433201004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2530282 + ... + 2535190.

It is an arithmetic number, because the mean of its divisors is an integer number (396273825).

Almost surely, 212433201024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12433201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12680762400).

12433201024 is an abundant number, since it is smaller than the sum of its proper divisors (12928323776).

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

12433201024 is an equidigital number, since it uses as much as digits as its factorization.

12433201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5391 (or 5379 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 12433201024 its reverse (42010233421), we get a palindrome (54443434445).

The spelling of 12433201024 in words is "twelve billion, four hundred thirty-three million, two hundred one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 421 752 842 1504 1684 3008 3368 4909 6016 6736 9818 13472 19636 19787 26944 39272 39574 53888 78544 79148 157088 158296 230723 314176 316592 461446 628352 633184 922892 1266368 1845784 2066689 2532736 3691568 4133378 7383136 8266756 14766272 16533512 29532544 33067024 66134048 97134383 132268096 194268766 264536192 388537532 777075064 1554150128 3108300256 6216600512 12433201024