Search a number
-
+
82602746744 = 2373833851303
BaseRepresentation
bin100110011101110000…
…0011110001101111000
321220012201122022022112
41030323200132031320
52323132300343434
6101540331311452
75652654522350
oct1147340361570
9256181568275
1082602746744
1132039108251
12140135ab588
137a3542a04b
143dd86d3b60
152236c42dce
hex133b81e378

82602746744 has 32 divisors (see below), whose sum is σ = 177468088320. Its totient is φ = 35308736736.

The previous prime is 82602746741. The next prime is 82602746771. The reversal of 82602746744 is 44764720628.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82602746692 and 82602746701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82602746741) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1904204 + ... + 1947099.

It is an arithmetic number, because the mean of its divisors is an integer number (5545877760).

Almost surely, 282602746744 is an apocalyptic number.

It is an amenable number.

82602746744 is an abundant number, since it is smaller than the sum of its proper divisors (94865341576).

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

82602746744 is a wasteful number, since it uses less digits than its factorization.

82602746744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3851699 (or 3851695 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 50.

The spelling of 82602746744 in words is "eighty-two billion, six hundred two million, seven hundred forty-six thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 383 766 1532 2681 3064 5362 10724 21448 3851303 7702606 15405212 26959121 30810424 53918242 107836484 215672968 1475049049 2950098098 5900196196 10325343343 11800392392 20650686686 41301373372 82602746744