Search a number
-
+
13436220175 = 5272471092141
BaseRepresentation
bin11001000001101110…
…00111001100001111
31021200101121201001021
430200313013030033
5210004133021200
610101132455011
7653650662400
oct144067071417
937611551037
1013436220175
11577543a0a4
12272b91a467
131361885551
1491667b9a7
155398bc41a
hex320dc730f

13436220175 has 72 divisors (see below), whose sum is σ = 19984345920. Its totient is φ = 8930476800.

The previous prime is 13436220137. The next prime is 13436220179. The reversal of 13436220175 is 57102263431.

13436220175 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13436220175 - 27 = 13436220047 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13436220175.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13436220179) 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 71 ways as a sum of consecutive naturals, for example, 6274605 + ... + 6276745.

It is an arithmetic number, because the mean of its divisors is an integer number (277560360).

Almost surely, 213436220175 is an apocalyptic number.

13436220175 is a deficient number, since it is larger than the sum of its proper divisors (6548125745).

13436220175 is a wasteful number, since it uses less digits than its factorization.

13436220175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 13436220175 in words is "thirteen billion, four hundred thirty-six million, two hundred twenty thousand, one hundred seventy-five".

Divisors: 1 5 7 25 35 47 49 109 175 235 245 329 545 763 1175 1225 1645 2141 2303 2725 3815 5123 5341 8225 10705 11515 14987 19075 25615 26705 35861 53525 57575 74935 100627 104909 128075 133525 179305 233369 251027 374675 503135 524545 704389 896525 1166845 1255135 1633583 2515675 2622725 3521945 4930723 5834225 6275675 8167915 10968343 11435081 17609725 24653615 40839575 54841715 57175405 76778401 123268075 274208575 285877025 383892005 537448807 1919460025 2687244035 13436220175