Search a number
-
+
55148544000000 = 22132561117
BaseRepresentation
bin11001000101000010001010…
…11000000000000000000000
321020021011000212000102220200
430202201011120000000000
524212023204231000000
6313142520311205200
714421231221354463
oct1442410530000000
9236234025012820
1055148544000000
1116632403406410
1262281a7976800
1324a064050b819
14d892bd2132da
15659818208500
hex322845600000

55148544000000 has 1848 divisors, whose sum is σ = 230028360755544. Its totient is φ = 12582912000000.

The previous prime is 55148543999959. The next prime is 55148544000071. The reversal of 55148544000000 is 44584155.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3244031999992 + ... + 3244032000008.

Almost surely, 255148544000000 is an apocalyptic number.

55148544000000 is a gapful number since it is divisible by the number (50) 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 55148544000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115014180377772).

55148544000000 is an abundant number, since it is smaller than the sum of its proper divisors (174879816755544).

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

55148544000000 is an frugal number, since it uses more digits than its factorization.

55148544000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 55148544000000 its reverse (44584155), we get a palindrome (55148588584155).

The spelling of 55148544000000 in words is "fifty-five trillion, one hundred forty-eight billion, five hundred forty-four million", and thus it is an aban number.