Search a number
-
+
6845809464 = 2332137992581
BaseRepresentation
bin1100110000000101…
…01100001100111000
3122200002121011010200
412120002230030320
5103010011400324
63051145242200
7331434264114
oct63002541470
918602534120
106845809464
1129a330aa7a
1213b0793360
1385139a840
1448d2a0744
152a100cec9
hex1980ac338

6845809464 has 96 divisors (see below), whose sum is σ = 20219908800. Its totient is φ = 2079717120.

The previous prime is 6845809463. The next prime is 6845809499. The reversal of 6845809464 is 4649085486.

6845809464 is a `hidden beast` number, since 68 + 45 + 80 + 9 + 464 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6845809464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6845809463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27654 + ... + 120234.

It is an arithmetic number, because the mean of its divisors is an integer number (210624050).

Almost surely, 26845809464 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 6845809464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10109954400).

6845809464 is an abundant number, since it is smaller than the sum of its proper divisors (13374099336).

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

6845809464 is a wasteful number, since it uses less digits than its factorization.

6845809464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92685 (or 92678 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 6845809464 is about 82739.4069594410. The cubic root of 6845809464 is about 1898.7812557143.

The spelling of 6845809464 in words is "six billion, eight hundred forty-five million, eight hundred nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 79 104 117 156 158 234 237 312 316 468 474 632 711 936 948 1027 1422 1896 2054 2844 3081 4108 5688 6162 8216 9243 12324 18486 24648 36972 73944 92581 185162 277743 370324 555486 740648 833229 1110972 1203553 1666458 2221944 2407106 3332916 3610659 4814212 6665832 7221318 7313899 9628424 10831977 14442636 14627798 21663954 21941697 28885272 29255596 43327908 43883394 58511192 65825091 86655816 87766788 95080687 131650182 175533576 190161374 263300364 285242061 380322748 526600728 570484122 760645496 855726183 1140968244 1711452366 2281936488 3422904732 6845809464