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553442245200 = 2432521371193863
BaseRepresentation
bin10000000110110111011…
…10100111101001010000
31221220112100020001120100
420003123232213221100
533031422203321300
61102125312012400
754661546315365
oct10033356475120
91856470201510
10553442245200
111a37937a0299
128b316831100
13402600b5080
141cb02b9a46c
15e5e27c7700
hex80dbba7a50

553442245200 has 720 divisors, whose sum is σ = 2110778901504. Its totient is φ = 133462425600.

The previous prime is 553442245163. The next prime is 553442245201. The reversal of 553442245200 is 2542244355.

553442245200 is a `hidden beast` number, since 5 + 5 + 3 + 442 + 2 + 4 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (553442245201) 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 143 ways as a sum of consecutive naturals, for example, 641299969 + ... + 641300831.

Almost surely, 2553442245200 is an apocalyptic number.

553442245200 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 553442245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055389450752).

553442245200 is an abundant number, since it is smaller than the sum of its proper divisors (1557336656304).

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

553442245200 is a wasteful number, since it uses less digits than its factorization.

553442245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 553442245200 its reverse (2542244355), we get a palindrome (555984489555).

The spelling of 553442245200 in words is "five hundred fifty-three billion, four hundred forty-two million, two hundred forty-five thousand, two hundred".