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405132313323551 = 11287912792709379
BaseRepresentation
bin101110000011101110011011…
…1100111110110100000011111
31222010110021022111020111111212
41130013130313213312200133
5411100141434202323201
63553351114305135035
7151222562253244412
oct13407346747664037
91863407274214455
10405132313323551
111080a6716103530
123953143402a47b
1314509a75845238
1472087197d5b79
1531c864b817abb
hex17077379f681f

405132313323551 has 8 divisors (see below), whose sum is σ = 442116036172800. Its totient is φ = 368174175898840.

The previous prime is 405132313323539. The next prime is 405132313323589. The reversal of 405132313323551 is 155323313231504.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-405132313323551 is a prime.

It is a super-2 number, since 2×4051323133235512 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 405132313323499 and 405132313323508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405132313923551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6396323021 + ... + 6396386358.

It is an arithmetic number, because the mean of its divisors is an integer number (55264504521600).

Almost surely, 2405132313323551 is an apocalyptic number.

405132313323551 is a deficient number, since it is larger than the sum of its proper divisors (36983722849249).

405132313323551 is a wasteful number, since it uses less digits than its factorization.

405132313323551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12792712269.

The product of its (nonzero) digits is 486000, while the sum is 41.

The spelling of 405132313323551 in words is "four hundred five trillion, one hundred thirty-two billion, three hundred thirteen million, three hundred twenty-three thousand, five hundred fifty-one".

Divisors: 1 11 2879 31669 12792709379 140719803169 36830210302141 405132313323551