Search a number
-
+
866772643968 = 273272117119661
BaseRepresentation
bin11001001110011111010…
…11001111000010000000
310001212021212122111200100
430213033223033002000
5103200122244101333
61502105001522400
7116423301624300
oct14471753170200
93055255574610
10866772643968
11304661619480
1211bba04a3400
1363975897aaa
142dd484b1600
15178303ee213
hexc9cfacf080

866772643968 has 576 divisors, whose sum is σ = 3209961493440. Its totient is φ = 221953536000.

The previous prime is 866772643883. The next prime is 866772643987. The reversal of 866772643968 is 869346277668.

866772643968 is a `hidden beast` number, since 8 + 6 + 67 + 72 + 6 + 439 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 866772643896 and 866772643905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44076058 + ... + 44095718.

It is an arithmetic number, because the mean of its divisors is an integer number (5572849815).

Almost surely, 2866772643968 is an apocalyptic number.

866772643968 is a gapful number since it is divisible by the number (88) 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 866772643968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604980746720).

866772643968 is an abundant number, since it is smaller than the sum of its proper divisors (2343188849472).

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

866772643968 is a wasteful number, since it uses less digits than its factorization.

866772643968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19777 (or 19755 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 866772643968 in words is "eight hundred sixty-six billion, seven hundred seventy-two million, six hundred forty-three thousand, nine hundred sixty-eight".