Search a number
-
+
505446340245 = 357113971102307
BaseRepresentation
bin1110101101011101111…
…00110001011010010101
31210022122102110110111220
413112232330301122111
531240123230341440
61024110541120553
751342301001340
oct7265674613225
91708572413456
10505446340245
111853a4311540
1281b60b59159
13388815c4602
141a66c6ad457
15d233d538d0
hex75aef31695

505446340245 has 64 divisors (see below), whose sum is σ = 1010807617536. Its totient is φ = 209526324480.

The previous prime is 505446340229. The next prime is 505446340249. The reversal of 505446340245 is 542043644505.

It is a happy number.

It is not a de Polignac number, because 505446340245 - 24 = 505446340229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505446340197 and 505446340206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505446340249) 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 63 ways as a sum of consecutive naturals, for example, 92619 + ... + 1009688.

It is an arithmetic number, because the mean of its divisors is an integer number (15793869024).

Almost surely, 2505446340245 is an apocalyptic number.

505446340245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505446340245 is a deficient number, since it is larger than the sum of its proper divisors (505361277291).

505446340245 is a wasteful number, since it uses less digits than its factorization.

505446340245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102730.

The product of its (nonzero) digits is 1152000, while the sum is 42.

The spelling of 505446340245 in words is "five hundred five billion, four hundred forty-six million, three hundred forty thousand, two hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 397 1155 1191 1985 2779 4367 5955 8337 13101 13895 21835 30569 41685 65505 91707 152845 458535 1102307 3306921 5511535 7716149 12125377 16534605 23148447 36376131 38580745 60626885 84877639 115742235 181880655 254632917 424388195 437615879 1273164585 1312847637 2188079395 3063311153 4813774669 6564238185 9189933459 14441324007 15316555765 24068873345 33696422683 45949667295 72206620035 101089268049 168482113415 505446340245