Search a number
-
+
81723214848 = 21031114916231
BaseRepresentation
bin100110000011100010…
…1010100110000000000
321210221102122110101010
41030013011110300000
52314332120333343
6101313152040520
75622114602412
oct1140705246000
9253842573333
1081723214848
1131727695990
1213a08b33140
13792514bb82
143d539849b2
1521d490ad33
hex1307154c00

81723214848 has 176 divisors, whose sum is σ = 239233708800. Its totient is φ = 24596889600.

The previous prime is 81723214817. The next prime is 81723214849. The reversal of 81723214848 is 84841232718.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 81723214797 and 81723214806.

It is not an unprimeable number, because it can be changed into a prime (81723214849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5026893 + ... + 5043123.

Almost surely, 281723214848 is an apocalyptic number.

81723214848 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 81723214848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119616854400).

81723214848 is an abundant number, since it is smaller than the sum of its proper divisors (157510493952).

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

81723214848 is a wasteful number, since it uses less digits than its factorization.

81723214848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16414 (or 16396 counting only the distinct ones).

The product of its digits is 688128, while the sum is 48.

The spelling of 81723214848 in words is "eighty-one billion, seven hundred twenty-three million, two hundred fourteen thousand, eight hundred forty-eight".