Search a number
-
+
6812502840 = 23335111344111
BaseRepresentation
bin1100101100000111…
…01000101100111000
3122120202221000001000
412112003220230320
5102423000042330
63043555325000
7330551214213
oct62603505470
918522830030
106812502840
112986531240
1213a15b0760
13847508790
14488ab077a
1529d12e560
hex1960e8b38

6812502840 has 256 divisors, whose sum is σ = 26678937600. Its totient is φ = 1524441600.

The previous prime is 6812502833. The next prime is 6812502847. The reversal of 6812502840 is 482052186.

6812502840 is a `hidden beast` number, since 68 + 12 + 502 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6812502833) and next prime (6812502847).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6812502795 and 6812502804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6812502847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132385 + ... + 176495.

It is an arithmetic number, because the mean of its divisors is an integer number (104214600).

Almost surely, 26812502840 is an apocalyptic number.

6812502840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6812502840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13339468800).

6812502840 is an abundant number, since it is smaller than the sum of its proper divisors (19866434760).

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

6812502840 is a wasteful number, since it uses less digits than its factorization.

6812502840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44155 (or 44145 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 6812502840 is about 82537.8873003180. The cubic root of 6812502840 is about 1895.6968951454.

The spelling of 6812502840 in words is "six billion, eight hundred twelve million, five hundred two thousand, eight hundred forty".