Search a number
-
+
72756823456 = 2520291120577
BaseRepresentation
bin100001111000010100…
…1010000010110100000
320221210112210120201001
41003300221100112200
52143001221322311
653231331121344
75153660536552
oct1036051202640
9227715716631
1072756823456
112894636a369
1212126143254
136b26638235
143742bdb4d2
151d5c66c4c1
hex10f0a505a0

72756823456 has 24 divisors (see below), whose sum is σ = 143310720420. Its totient is φ = 36360450048.

The previous prime is 72756823423. The next prime is 72756823459. The reversal of 72756823456 is 65432865727.

It can be written as a sum of positive squares in 2 ways, for example, as 67527219600 + 5229603856 = 259860^2 + 72316^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72756823397 and 72756823406.

It is not an unprimeable number, because it can be changed into a prime (72756823459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 495361 + ... + 625216.

Almost surely, 272756823456 is an apocalyptic number.

It is an amenable number.

72756823456 is a deficient number, since it is larger than the sum of its proper divisors (70553896964).

72756823456 is a wasteful number, since it uses less digits than its factorization.

72756823456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122616 (or 1122608 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 55.

The spelling of 72756823456 in words is "seventy-two billion, seven hundred fifty-six million, eight hundred twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 2029 4058 8116 16232 32464 64928 1120577 2241154 4482308 8964616 17929232 35858464 2273650733 4547301466 9094602932 18189205864 36378411728 72756823456