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505405463533 = 174312731317393
BaseRepresentation
bin1110101101011001000…
…00110101101111101101
31210022112120112201012121
413112230200311233231
531240032244313113
61024102521032541
751341263362265
oct7265440655755
91708476481177
10505405463533
11185383232233
1281b4b325751
1338875cb19c9
141a6670ac7a5
15d23047be8d
hex75ac835bed

505405463533 has 32 divisors (see below), whose sum is σ = 553686921216. Its totient is φ = 459456012288.

The previous prime is 505405463503. The next prime is 505405463539. The reversal of 505405463533 is 335364504505.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-505405463533 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 505405463533.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505405463539) 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 31 ways as a sum of consecutive naturals, for example, 29049285 + ... + 29066677.

It is an arithmetic number, because the mean of its divisors is an integer number (17302716288).

Almost surely, 2505405463533 is an apocalyptic number.

It is an amenable number.

505405463533 is a deficient number, since it is larger than the sum of its proper divisors (48281457683).

505405463533 is a wasteful number, since it uses less digits than its factorization.

505405463533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17893.

The product of its (nonzero) digits is 1620000, while the sum is 43.

The spelling of 505405463533 in words is "five hundred five billion, four hundred five million, four hundred sixty-three thousand, five hundred thirty-three".

Divisors: 1 17 43 127 313 731 2159 5321 5461 13459 17393 39751 92837 228803 295681 675767 747899 1709293 2208911 5444009 12714283 29057981 37551487 92548153 94983173 234092387 691389143 1614713941 3979570579 11753615431 29729733149 505405463533