Search a number
-
+
505386404568 = 2334779917291
BaseRepresentation
bin1110101101010110110…
…00001000101011011000
31210022111020200102020000
413112223120020223120
531240012404421233
61024101000333000
751340642362633
oct7265330105330
91708436612200
10505386404568
111853734a4a21
1281b44a74160
133887206aa06
141a66474ac1a
15d22d964d13
hex75ab608ad8

505386404568 has 40 divisors (see below), whose sum is σ = 1415549884980. Its totient is φ = 168462134640.

The previous prime is 505386404563. The next prime is 505386404573. The reversal of 505386404568 is 865404683505.

505386404568 is a `hidden beast` number, since 5 + 0 + 5 + 38 + 6 + 40 + 4 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (505386404563) and next prime (505386404573).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505386404563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 389957998 + ... + 389959293.

Almost surely, 2505386404568 is an apocalyptic number.

It is an amenable number.

505386404568 is an abundant number, since it is smaller than the sum of its proper divisors (910163480412).

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

505386404568 is a wasteful number, since it uses less digits than its factorization.

505386404568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779917309 (or 779917296 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 505386404568 in words is "five hundred five billion, three hundred eighty-six million, four hundred four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 779917291 1559834582 2339751873 3119669164 4679503746 6239338328 7019255619 9359007492 14038511238 18718014984 21057766857 28077022476 42115533714 56154044952 63173300571 84231067428 126346601142 168462134856 252693202284 505386404568