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505145511 = 33131439161
BaseRepresentation
bin11110000110111…
…110100010100111
31022012112001101000
4132012332202213
52013304124021
6122043004343
715342444303
oct3606764247
91265461330
10505145511
1123a161332
121212096b3
1380867190
144b134d03
152e532b26
hex1e1be8a7

505145511 has 16 divisors (see below), whose sum is σ = 805930720. Its totient is φ = 310858560.

The previous prime is 505145503. The next prime is 505145569. The reversal of 505145511 is 115541505.

505145511 is a `hidden beast` number, since 5 + 0 + 5 + 145 + 511 = 666.

It is not a de Polignac number, because 505145511 - 23 = 505145503 is a prime.

It is a super-2 number, since 2×5051455112 = 510343974566902242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505145591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 719230 + ... + 719931.

It is an arithmetic number, because the mean of its divisors is an integer number (50370670).

Almost surely, 2505145511 is an apocalyptic number.

505145511 is a deficient number, since it is larger than the sum of its proper divisors (300785209).

505145511 is a wasteful number, since it uses less digits than its factorization.

505145511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439183 (or 1439177 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

The square root of 505145511 is about 22475.4423983155. The cubic root of 505145511 is about 796.4139025467.

The spelling of 505145511 in words is "five hundred five million, one hundred forty-five thousand, five hundred eleven".

Divisors: 1 3 9 13 27 39 117 351 1439161 4317483 12952449 18709093 38857347 56127279 168381837 505145511