Search a number
-
+
104687564225 = 52412632711433
BaseRepresentation
bin110000101111111011…
…1010111010111000001
3101000012212010021111112
41201133313113113001
53203400004023400
6120032013453105
710364153420336
oct1413767272701
9330185107445
10104687564225
1140441445522
12183577a1195
139b44a0809a
1450d183298d
152acaa27835
hex185fdd75c1

104687564225 has 48 divisors (see below), whose sum is σ = 134070418944. Its totient is φ = 81039744000.

The previous prime is 104687564171. The next prime is 104687564227. The reversal of 104687564225 is 522465786401.

It is not a de Polignac number, because 104687564225 - 26 = 104687564161 is a prime.

It is a super-2 number, since 2×1046875642252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104687564227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73054109 + ... + 73055541.

It is an arithmetic number, because the mean of its divisors is an integer number (2793133728).

Almost surely, 2104687564225 is an apocalyptic number.

It is an amenable number.

104687564225 is a deficient number, since it is larger than the sum of its proper divisors (29382854719).

104687564225 is a wasteful number, since it uses less digits than its factorization.

104687564225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 50.

The spelling of 104687564225 in words is "one hundred four billion, six hundred eighty-seven million, five hundred sixty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 41 205 263 271 1025 1315 1355 1433 6575 6775 7165 10783 11111 35825 53915 55555 58753 71273 269575 277775 293765 356365 376879 388343 1468825 1781825 1884395 1941715 2922193 9421975 9708575 14610965 15452039 15922063 73054825 77260195 79610315 102134209 386300975 398051575 510671045 2553355225 4187502569 20937512845 104687564225