Search a number
-
+
82069154816160 = 25357110722505911
BaseRepresentation
bin10010101010010000110110…
…110100011110000010100000
3101202120201211111200112012110
4102222100312310132002200
541224110112113104120
6450314014345155320
723200205106633261
oct2252206664360240
9352521744615173
1082069154816160
112417137339a956
129255675a8bb40
1336a411b6cab45
14163a24dacc968
15974c18c272e0
hex4aa436d1e0a0

82069154816160 has 192 divisors, whose sum is σ = 264609029228544. Its totient is φ = 21375213081600.

The previous prime is 82069154816111. The next prime is 82069154816161. The reversal of 82069154816160 is 6161845196028.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 82069154816160.

It is not an unprimeable number, because it can be changed into a prime (82069154816161) 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 31 ways as a sum of consecutive naturals, for example, 7606396 + ... + 14899515.

It is an arithmetic number, because the mean of its divisors is an integer number (1378172027232).

Almost surely, 282069154816160 is an apocalyptic number.

82069154816160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82069154816160 is an abundant number, since it is smaller than the sum of its proper divisors (182539874412384).

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

82069154816160 is a wasteful number, since it uses less digits than its factorization.

82069154816160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22506107 (or 22506099 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 82069154816160 in words is "eighty-two trillion, sixty-nine billion, one hundred fifty-four million, eight hundred sixteen thousand, one hundred sixty".