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55341208800 = 2535521914983
BaseRepresentation
bin110011100010100101…
…111101010011100000
312021211211020200200000
4303202211331103200
51401314322140200
641231242100000
73666256341033
oct634245752340
9167754220600
1055341208800
11215197402a9
12a8857aa600
1352ac4c71c7
14296dc5101a
15168d74a300
hexce297d4e0

55341208800 has 432 divisors, whose sum is σ = 213040114560. Its totient is φ = 13980003840.

The previous prime is 55341208787. The next prime is 55341208807. The reversal of 55341208800 is 880214355.

It is a happy number.

55341208800 is a `hidden beast` number, since 553 + 4 + 1 + 20 + 8 + 80 + 0 = 666.

55341208800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55341208807) 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, 3686109 + ... + 3701091.

Almost surely, 255341208800 is an apocalyptic number.

55341208800 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 55341208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106520057280).

55341208800 is an abundant number, since it is smaller than the sum of its proper divisors (157698905760).

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

55341208800 is a wasteful number, since it uses less digits than its factorization.

55341208800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15037 (or 15012 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 55341208800 in words is "fifty-five billion, three hundred forty-one million, two hundred eight thousand, eight hundred".