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216055884107520 = 28385137187787
BaseRepresentation
bin110001001000000001101110…
…001110010100111100000000
31001022222202000001012200000000
4301020001232032110330000
5211304324422312420040
62043302411500000000
763336344135401422
oct6110015616247400
91038882001180000
10216055884107520
1162929871016946
12202950b2530000
139372ca0596522
143b4d236914812
1519ea1991a4130
hexc4806e394f00

216055884107520 has 648 divisors, whose sum is σ = 781912768828464. Its totient is φ = 57194051125248.

The previous prime is 216055884107429. The next prime is 216055884107527. The reversal of 216055884107520 is 25701488550612.

216055884107520 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 5 + 5 + 8 + 8 + 4 + 107 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×2160558841075202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216055884107527) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1150443067 + ... + 1150630853.

Almost surely, 2216055884107520 is an apocalyptic number.

216055884107520 is a gapful number since it is divisible by the number (20) 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 216055884107520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390956384414232).

216055884107520 is an abundant number, since it is smaller than the sum of its proper divisors (565856884720944).

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

216055884107520 is an frugal number, since it uses more digits than its factorization.

216055884107520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187969 (or 187934 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 216055884107520 in words is "two hundred sixteen trillion, fifty-five billion, eight hundred eighty-four million, one hundred seven thousand, five hundred twenty".