Search a number
-
+
82747402740 = 223351911816829
BaseRepresentation
bin100110100010000100…
…0010010100111110100
321220120210211121001000
41031010020102213310
52323431313341430
6102002540003300
75656362214062
oct1150410224764
9256523747030
1082747402740
113210282a462
1214053b30530
137a593a7702
14400d9cb032
1522447b8e60
hex13442129f4

82747402740 has 192 divisors, whose sum is σ = 271254816000. Its totient is φ = 20883847680.

The previous prime is 82747402733. The next prime is 82747402741. The reversal of 82747402740 is 4720474728.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82747402741) 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, 12113646 + ... + 12120474.

It is an arithmetic number, because the mean of its divisors is an integer number (1412785500).

Almost surely, 282747402740 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 82747402740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135627408000).

82747402740 is an abundant number, since it is smaller than the sum of its proper divisors (188507413260).

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

82747402740 is a wasteful number, since it uses less digits than its factorization.

82747402740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8047 (or 8039 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 45.

The spelling of 82747402740 in words is "eighty-two billion, seven hundred forty-seven million, four hundred two thousand, seven hundred forty".