Search a number
-
+
56936726675712 = 2838132607589
BaseRepresentation
bin11001111001000100111010…
…10111100100000100000000
321110121002122101012100000000
430330202131113210010000
524430322404012110322
6321032212100000000
714664354110333202
oct1474423527440400
9243532571170000
1056936726675712
1117161803964394
126476876690000
1325a01583bbc40
14100ba76356772
1568b0c55773ac
hex33c89d5e4100

56936726675712 has 324 divisors, whose sum is σ = 183580891481260. Its totient is φ = 17518986104832.

The previous prime is 56936726675687. The next prime is 56936726675729. The reversal of 56936726675712 is 21757662763965.

It is a happy number.

56936726675712 is a `hidden beast` number, since 569 + 3 + 6 + 7 + 2 + 6 + 6 + 7 + 57 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25822821171456 + 31113905504256 = 5081616^2 + 5577984^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 20531214 + ... + 23138802.

Almost surely, 256936726675712 is an apocalyptic number.

56936726675712 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56936726675712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91790445740630).

56936726675712 is an abundant number, since it is smaller than the sum of its proper divisors (126644164805548).

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

56936726675712 is an frugal number, since it uses more digits than its factorization.

56936726675712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607642 (or 2607607 counting only the distinct ones).

The product of its digits is 1200225600, while the sum is 72.

The spelling of 56936726675712 in words is "fifty-six trillion, nine hundred thirty-six billion, seven hundred twenty-six million, six hundred seventy-five thousand, seven hundred twelve".