Search a number
-
+
82668016033064 = 23711134201324729
BaseRepresentation
bin10010110010111110100101…
…101110101101110100101000
3101211200222121011201101221222
4102302332211232231310220
541313413044101024224
6451453055015321212
723261365334166050
oct2262764556556450
9354628534641858
1082668016033064
11243823439998a0
129331747380208
1337187394489a7
14165b220a1a560
159855b8aecb5e
hex4b2fa5badd28

82668016033064 has 32 divisors (see below), whose sum is σ = 193249907611200. Its totient is φ = 32208317934720.

The previous prime is 82668016033037. The next prime is 82668016033079. The reversal of 82668016033064 is 46033061086628.

It is a Smith number, since the sum of its digits (53) 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 = 82668016032997 and 82668016033015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67100661749 + ... + 67100662980.

It is an arithmetic number, because the mean of its divisors is an integer number (6039059612850).

Almost surely, 282668016033064 is an apocalyptic number.

It is an amenable number.

82668016033064 is an abundant number, since it is smaller than the sum of its proper divisors (110581891578136).

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

82668016033064 is a wasteful number, since it uses less digits than its factorization.

82668016033064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134201324753 (or 134201324749 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 53.

The spelling of 82668016033064 in words is "eighty-two trillion, six hundred sixty-eight billion, sixteen million, thirty-three thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 134201324729 268402649458 536805298916 939409273103 1073610597832 1476214572019 1878818546206 2952429144038 3757637092412 5904858288076 7515274184824 10333502004133 11809716576152 20667004008266 41334008016532 82668016033064