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55414000000 = 2756103269
BaseRepresentation
bin110011100110111011…
…101000100110000000
312022000220012212102101
4303212323220212000
51401441441000000
641242402200144
74001132141212
oct634673504600
9168026185371
1055414000000
1121556838417
12a8a6053054
1352c1602318
14297979c5b2
151694d27e6a
hexce6ee8980

55414000000 has 224 divisors, whose sum is σ = 139849772400. Its totient is φ = 21868800000.

The previous prime is 55413999973. The next prime is 55414000039. The reversal of 55414000000 is 41455.

It is a super-2 number, since 2×554140000002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 205999866 + ... + 206000134.

Almost surely, 255414000000 is an apocalyptic number.

55414000000 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 55414000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69924886200).

55414000000 is an abundant number, since it is smaller than the sum of its proper divisors (84435772400).

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

55414000000 is an frugal number, since it uses more digits than its factorization.

55414000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

Adding to 55414000000 its reverse (41455), we get a palindrome (55414041455).

The spelling of 55414000000 in words is "fifty-five billion, four hundred fourteen million", and thus it is an aban number.