Search a number
-
+
505575037443 = 3731969137423
BaseRepresentation
bin1110101101101101001…
…11101101101000000011
31210022222101121221212210
413112312213231220003
531240404202144233
61024131415353203
751345422625000
oct7266647555003
91708871557783
10505575037443
1118545aa23663
1281b98082803
13388a21750b8
141a6818108a7
15d2402c6163
hex75b69eda03

505575037443 has 64 divisors (see below), whose sum is σ = 828717056000. Its totient is φ = 273291369120.

The previous prime is 505575037439. The next prime is 505575037447. The reversal of 505575037443 is 344730575505.

It is a Cunningham number, because it is equal to 7110382-1.

It is an interprime number because it is at equal distance from previous prime (505575037439) and next prime (505575037447).

It is not a de Polignac number, because 505575037443 - 22 = 505575037439 is a prime.

It is a super-2 number, since 2×5055750374432 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 505575037392 and 505575037401.

It is not an unprimeable number, because it can be changed into a prime (505575037447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13491030 + ... + 13528452.

It is an arithmetic number, because the mean of its divisors is an integer number (12948704000).

Almost surely, 2505575037443 is an apocalyptic number.

505575037443 is a deficient number, since it is larger than the sum of its proper divisors (323142018557).

505575037443 is a wasteful number, since it uses less digits than its factorization.

505575037443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38157 (or 38143 counting only the distinct ones).

The product of its (nonzero) digits is 4410000, while the sum is 48.

The spelling of 505575037443 in words is "five hundred five billion, five hundred seventy-five million, thirty-seven thousand, four hundred forty-three".

Divisors: 1 3 7 19 21 49 57 133 147 343 399 691 931 1029 2073 2793 4837 6517 13129 14511 19551 33859 37423 39387 91903 101577 112269 237013 261961 275709 643321 711037 711039 785883 1833727 1929963 2133111 4503247 4977259 5501181 12836089 13509741 14931777 25859293 34840813 38508267 77577879 104522439 181015051 243885691 491326567 543045153 731657073 1267105357 1473979701 3439285969 3801316071 8869737499 10317857907 24075001783 26609212497 72225005349 168525012481 505575037443