Search a number
-
+
505622496957 = 3172583186271
BaseRepresentation
bin1110101101110010111…
…00110000011010111101
31210100002200221011002120
413112321130300122331
531241003324400312
61024140232513153
751346540211634
oct7267134603275
91710080834076
10505622496957
111854847996a6
1281babb4b7b9
13388abc51056
141a687c4651b
15d24454d28c
hex75b97306bd

505622496957 has 12 divisors (see below), whose sum is σ = 716152742016. Its totient is φ = 317253330880.

The previous prime is 505622496947. The next prime is 505622496959. The reversal of 505622496957 is 759694226505.

It is not a de Polignac number, because 505622496957 - 24 = 505622496941 is a prime.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 505622496957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505622496959) 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 11 ways as a sum of consecutive naturals, for example, 291592269 + ... + 291594002.

It is an arithmetic number, because the mean of its divisors is an integer number (59679395168).

Almost surely, 2505622496957 is an apocalyptic number.

It is an amenable number.

505622496957 is a deficient number, since it is larger than the sum of its proper divisors (210530245059).

505622496957 is a wasteful number, since it uses less digits than its factorization.

505622496957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583186308 (or 583186291 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 60.

The spelling of 505622496957 in words is "five hundred five billion, six hundred twenty-two million, four hundred ninety-six thousand, nine hundred fifty-seven".

Divisors: 1 3 17 51 289 867 583186271 1749558813 9914166607 29742499821 168540832319 505622496957