Search a number
-
+
505213236560 = 24517371480321
BaseRepresentation
bin1110101101000010000…
…11100011010101010000
31210022001011211120101002
413112201003203111100
531234134042032220
61024031453001132
751333440440634
oct7264103432520
91708034746332
10505213236560
1118529477926a
1281ab6a831a8
1338845219736
141a649750dc4
15d21d65ac75
hex75a10e3550

505213236560 has 40 divisors (see below), whose sum is σ = 1243716118056. Its totient is φ = 190197923840.

The previous prime is 505213236557. The next prime is 505213236569. The reversal of 505213236560 is 65632312505.

It can be written as a sum of positive squares in 4 ways, for example, as 225727611664 + 279485624896 = 475108^2 + 528664^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505213236569) 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 7 ways as a sum of consecutive naturals, for example, 185738801 + ... + 185741520.

Almost surely, 2505213236560 is an apocalyptic number.

It is an amenable number.

505213236560 is an abundant number, since it is smaller than the sum of its proper divisors (738502881496).

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

505213236560 is a wasteful number, since it uses less digits than its factorization.

505213236560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371480351 (or 371480345 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 38.

The spelling of 505213236560 in words is "five hundred five billion, two hundred thirteen million, two hundred thirty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 371480321 742960642 1485921284 1857401605 2971842568 3714803210 5943685136 6315165457 7429606420 12630330914 14859212840 25260661828 29718425680 31575827285 50521323656 63151654570 101042647312 126303309140 252606618280 505213236560