Search a number
-
+
55311551545000 = 235411062310309
BaseRepresentation
bin11001001001110001110010…
…11000011011111010101000
321020211201210010110201001011
430210320321120123322220
524222211024143420000
6313345435340433304
714436061544546452
oct1444707130337250
9236751703421034
1055311551545000
1116695551972653
1262538ba848834
1324b2b1a8a1c6a
14d931443352d2
1565dba8c2a2ba
hex324e3961bea8

55311551545000 has 40 divisors (see below), whose sum is σ = 129594965281650. Its totient is φ = 22124620616000.

The previous prime is 55311551544961. The next prime is 55311551545007. The reversal of 55311551545000 is 54515511355.

55311551545000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 4648844829924 + 50662706715076 = 2156118^2 + 7117774^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (55311551545007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5531150155 + ... + 5531160154.

Almost surely, 255311551545000 is an apocalyptic number.

55311551545000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55311551545000 is an abundant number, since it is smaller than the sum of its proper divisors (74283413736650).

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

55311551545000 is a wasteful number, since it uses less digits than its factorization.

55311551545000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11062310335 (or 11062310316 counting only the distinct ones).

The product of its (nonzero) digits is 187500, while the sum is 40.

The spelling of 55311551545000 in words is "fifty-five trillion, three hundred eleven billion, five hundred fifty-one million, five hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 11062310309 22124620618 44249241236 55311551545 88498482472 110623103090 221246206180 276557757725 442492412360 553115515450 1106231030900 1382788788625 2212462061800 2765577577250 5531155154500 6913943943125 11062310309000 13827887886250 27655775772500 55311551545000