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55816468848 = 2434733718257
BaseRepresentation
bin110011111110111010…
…111011100101110000
312100001221112101220000
4303332322323211300
51403303004000343
641350340350000
74014120104610
oct637672734560
9170057471800
1055816468848
1121742a3a1a8
12a9989a5300
135356ac957a
1429b7006a40
1516ba327ed3
hexcfeebb970

55816468848 has 200 divisors, whose sum is σ = 185185489632. Its totient is φ = 15899369472.

The previous prime is 55816468823. The next prime is 55816468859. The reversal of 55816468848 is 84886461855.

55816468848 is a `hidden beast` number, since 5 + 581 + 6 + 4 + 6 + 8 + 8 + 48 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 3048136 + ... + 3066392.

Almost surely, 255816468848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55816468848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92592744816).

55816468848 is an abundant number, since it is smaller than the sum of its proper divisors (129369020784).

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

55816468848 is a wasteful number, since it uses less digits than its factorization.

55816468848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18621 (or 18606 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 63.

The spelling of 55816468848 in words is "fifty-five billion, eight hundred sixteen million, four hundred sixty-eight thousand, eight hundred forty-eight".