Search a number
-
+
82391126407656 = 23311312087600029
BaseRepresentation
bin10010101110111100101101…
…110100100111100111101000
3101210201111220021001001021120
4102232330231310213213220
541244344011330021111
6451121543321535240
723232363630204663
oct2256745564474750
9353644807031246
1082391126407656
1124285975a1a030
1292a7b51644520
1336c85b0512c61
14164ba74cd86da
1597d2b02a2406
hex4aef2dd279e8

82391126407656 has 32 divisors (see below), whose sum is σ = 224703072021600. Its totient is φ = 24967008002240.

The previous prime is 82391126407649. The next prime is 82391126407657. The reversal of 82391126407656 is 65670462119328.

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 82391126407656.

It is not an unprimeable number, because it can be changed into a prime (82391126407657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156043799751 + ... + 156043800278.

It is an arithmetic number, because the mean of its divisors is an integer number (7021971000675).

It is a 1-persistent number, because it is pandigital, but 2⋅82391126407656 = 164782252815312 is not.

Almost surely, 282391126407656 is an apocalyptic number.

It is an amenable number.

82391126407656 is an abundant number, since it is smaller than the sum of its proper divisors (142311945613944).

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

82391126407656 is a wasteful number, since it uses less digits than its factorization.

82391126407656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312087600049 (or 312087600045 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 82391126407656 in words is "eighty-two trillion, three hundred ninety-one billion, one hundred twenty-six million, four hundred seven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 312087600029 624175200058 936262800087 1248350400116 1872525600174 2496700800232 3432963600319 3745051200348 6865927200638 7490102400696 10298890800957 13731854401276 20597781601914 27463708802552 41195563203828 82391126407656