Search a number
-
+
4809716568 = 23321712730941
BaseRepresentation
bin1000111101010111…
…00111001101011000
3110102012022220202200
410132223213031120
534322241412233
62113132530200
7230121626166
oct43653471530
913365286680
104809716568
112048a61278
12b22920960
135b85c7147
14338acc236
151d23bb313
hex11eae7358

4809716568 has 96 divisors (see below), whose sum is σ = 13901621760. Its totient is φ = 1497000960.

The previous prime is 4809716567. The next prime is 4809716603. The reversal of 4809716568 is 8656179084.

4809716568 is a `hidden beast` number, since 4 + 8 + 0 + 9 + 71 + 6 + 568 = 666.

It is a super-3 number, since 3×48097165683 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4809716567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139978 + ... + 170918.

It is an arithmetic number, because the mean of its divisors is an integer number (144808560).

Almost surely, 24809716568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4809716568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6950810880).

4809716568 is an abundant number, since it is smaller than the sum of its proper divisors (9091905192).

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

4809716568 is a wasteful number, since it uses less digits than its factorization.

4809716568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31097 (or 31090 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 4809716568 is about 69352.1201406273. The cubic root of 4809716568 is about 1688.0027954926.

The spelling of 4809716568 in words is "four billion, eight hundred nine million, seven hundred sixteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 127 136 153 204 254 306 381 408 508 612 762 1016 1143 1224 1524 2159 2286 3048 4318 4572 6477 8636 9144 12954 17272 19431 25908 30941 38862 51816 61882 77724 92823 123764 155448 185646 247528 278469 371292 525997 556938 742584 1051994 1113876 1577991 2103988 2227752 3155982 3929507 4207976 4733973 6311964 7859014 9467946 11788521 12623928 15718028 18935892 23577042 31436056 35365563 37871784 47154084 66801619 70731126 94308168 133603238 141462252 200404857 267206476 282924504 400809714 534412952 601214571 801619428 1202429142 1603238856 2404858284 4809716568