Search a number
-
+
56417441310100 = 22521343398031777
BaseRepresentation
bin11001101001111101101011…
…00011000110010110010100
321101202110021111011112121001
430310332311203012112110
524343320404433410400
6315553451552233044
714612011534502023
oct1464766543062624
9241673244145531
1056417441310100
1116a81558902302
1263b20b2b3b784
1325631ac95aa30
14dd0893b148ba
1567c8317dba6a
hex334fb58c6594

56417441310100 has 36 divisors (see below), whose sum is σ = 131843220541564. Its totient is φ = 20831055252480.

The previous prime is 56417441310089. The next prime is 56417441310119. The reversal of 56417441310100 is 101314471465.

It can be written as a sum of positive squares in 6 ways, for example, as 11210590561284 + 45206850748816 = 3348222^2 + 6723604^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 56417441310100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21699014589 + ... + 21699017188.

Almost surely, 256417441310100 is an apocalyptic number.

56417441310100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56417441310100 is an abundant number, since it is smaller than the sum of its proper divisors (75425779231464).

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

56417441310100 is a wasteful number, since it uses less digits than its factorization.

56417441310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43398031804 (or 43398031797 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

Adding to 56417441310100 its reverse (101314471465), we get a palindrome (56518755781565).

The spelling of 56417441310100 in words is "fifty-six trillion, four hundred seventeen billion, four hundred forty-one million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 43398031777 86796063554 173592127108 216990158885 433980317770 564174413101 867960635540 1084950794425 1128348826202 2169901588850 2256697652404 2820872065505 4339803177700 5641744131010 11283488262020 14104360327525 28208720655050 56417441310100