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13462130404801 = 132942184818453
BaseRepresentation
bin1100001111100110010110…
…0000000010110111000001
31202122222010000101111000001
43003321211200002313001
53231030420340423201
644344230051000001
72556415066260001
oct303714540026701
952588100344001
1013462130404801
114320291724881
121615074299001
13768620228aa0
143477db9a0001
151852aa854301
hexc3e65802dc1

13462130404801 has 16 divisors (see below), whose sum is σ = 15033222786960. Its totient is φ = 11969579946240.

The previous prime is 13462130404763. The next prime is 13462130404817. The reversal of 13462130404801 is 10840403126431.

It can be written as a sum of positive squares in 8 ways, for example, as 3593485131201 + 9868645273600 = 1895649^2 + 3141440^2 .

It is a cyclic number.

It is not a de Polignac number, because 13462130404801 - 225 = 13462096850369 is a prime.

It is a super-2 number, since 2×134621304048012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13462130404831) 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 15 ways as a sum of consecutive naturals, for example, 42250510 + ... + 42567943.

It is an arithmetic number, because the mean of its divisors is an integer number (939576424185).

Almost surely, 213462130404801 is an apocalyptic number.

It is an amenable number.

13462130404801 is a deficient number, since it is larger than the sum of its proper divisors (1571092382159).

13462130404801 is a wasteful number, since it uses less digits than its factorization.

13462130404801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84818916.

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 13462130404801 in words is "thirteen trillion, four hundred sixty-two billion, one hundred thirty million, four hundred four thousand, eight hundred one".

Divisors: 1 13 29 377 421 5473 12209 158717 84818453 1102639889 2459735137 31976556781 35708568713 464211393269 1035548492677 13462130404801