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55473448800 = 253527211193761
BaseRepresentation
bin110011101010011110…
…011010011101100000
312022012001002011211210
4303222132122131200
51402102200330200
641252324310120
74002453351300
oct635236323540
9168161064753
1055473448800
1121587352160
12a901b42340
135300a18423
142983635600
15169a16c650
hexcea79a760

55473448800 has 1728 divisors, whose sum is σ = 251781384960. Its totient is φ = 10450944000.

The previous prime is 55473448777. The next prime is 55473448801. The reversal of 55473448800 is 884437455.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 55473448800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55473448801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 909400770 + ... + 909400830.

It is an arithmetic number, because the mean of its divisors is an integer number (145706820).

Almost surely, 255473448800 is an apocalyptic number.

55473448800 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 55473448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125890692480).

55473448800 is an abundant number, since it is smaller than the sum of its proper divisors (196307936160).

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

55473448800 is a wasteful number, since it uses less digits than its factorization.

55473448800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

The spelling of 55473448800 in words is "fifty-five billion, four hundred seventy-three million, four hundred forty-eight thousand, eight hundred".