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13264461030432 = 253234595889913
BaseRepresentation
bin1100000100000101111101…
…1111001110010000100000
31201222001220002120211211110
43001001133133032100200
53214311104010433212
644113335334143320
72536216465306623
oct301013737162040
951861802524743
1013264461030432
1142544764a2167
1215a28a91b1b40
13752aaaa15741
1433c00923ddba
1518008bd00a3c
hexc105f7ce420

13264461030432 has 48 divisors (see below), whose sum is σ = 34820700374880. Its totient is φ = 4421297782272.

The previous prime is 13264461030427. The next prime is 13264461030437. The reversal of 13264461030432 is 23403016446231.

It is an interprime number because it is at equal distance from previous prime (13264461030427) and next prime (13264461030437).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (13264461030437) 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, 692893 + ... + 5197020.

It is an arithmetic number, because the mean of its divisors is an integer number (725431257810).

Almost surely, 213264461030432 is an apocalyptic number.

13264461030432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13264461030432 is an abundant number, since it is smaller than the sum of its proper divisors (21556239344448).

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

13264461030432 is a wasteful number, since it uses less digits than its factorization.

13264461030432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5913385 (or 5913377 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

Adding to 13264461030432 its reverse (23403016446231), we get a palindrome (36667477476663).

The spelling of 13264461030432 in words is "thirteen trillion, two hundred sixty-four billion, four hundred sixty-one million, thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 23459 46918 70377 93836 140754 187672 281508 375344 563016 750688 1126032 2252064 5889913 11779826 17669739 23559652 35339478 47119304 70678956 94238608 141357912 188477216 282715824 565431648 138171469067 276342938134 414514407201 552685876268 829028814402 1105371752536 1658057628804 2210743505072 3316115257608 4421487010144 6632230515216 13264461030432