Search a number
-
+
6342713325 = 3252134152889
BaseRepresentation
bin1011110100000111…
…00001111111101101
3121101000221012222100
411322003201333231
5100442213311300
62525214205313
7313115113404
oct57203417755
917330835870
106342713325
112765329443
1212901b3839
137a10a0410
1444254063b
15271c82700
hex17a0e1fed

6342713325 has 72 divisors (see below), whose sum is σ = 12533025960. Its totient is φ = 3046348800.

The previous prime is 6342713281. The next prime is 6342713341. The reversal of 6342713325 is 5233172436.

6342713325 is a `hidden beast` number, since 63 + 4 + 271 + 3 + 325 = 666.

6342713325 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 3983376996 + 2359336329 = 63114^2 + 48573^2 .

It is a de Polignac number, because none of the positive numbers 2k-6342713325 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6342713325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 93481 + ... + 146369.

It is an arithmetic number, because the mean of its divisors is an integer number (174069805).

Almost surely, 26342713325 is an apocalyptic number.

6342713325 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6342713325 is a deficient number, since it is larger than the sum of its proper divisors (6190312635).

6342713325 is a wasteful number, since it uses less digits than its factorization.

6342713325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52959 (or 52951 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 6342713325 is about 79641.1534635204. The cubic root of 6342713325 is about 1851.0793141896.

The spelling of 6342713325 in words is "six billion, three hundred forty-two million, seven hundred thirteen thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 41 45 65 75 117 123 195 205 225 325 369 533 585 615 975 1025 1599 1845 2665 2925 3075 4797 7995 9225 13325 23985 39975 52889 119925 158667 264445 476001 687557 793335 1322225 2062671 2168449 2380005 3437785 3966675 6188013 6505347 10313355 10842245 11900025 17188925 19516041 28189837 30940065 32526735 51566775 54211225 84569511 97580205 140949185 154700325 162633675 253708533 422847555 487901025 704745925 1268542665 2114237775 6342713325