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55073401200 = 243352291011741
BaseRepresentation
bin110011010010101000…
…010110100101110000
312021011011022122201000
4303102220112211300
51400242242314300
641144514042000
73656525120616
oct632250264560
9167134278630
1055073401200
11213a1554504
12a80bb79300
135268b8b27c
14294645b6b6
151674e99c00
hexcd2a16970

55073401200 has 480 divisors, whose sum is σ = 204905188800. Its totient is φ = 14031360000.

The previous prime is 55073401193. The next prime is 55073401291. The reversal of 55073401200 is 210437055.

It is a happy number.

55073401200 is a `hidden beast` number, since 5 + 50 + 7 + 3 + 401 + 200 = 666.

It is a super-2 number, since 2×550734012002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31632330 + ... + 31634070.

It is an arithmetic number, because the mean of its divisors is an integer number (426885810).

Almost surely, 255073401200 is an apocalyptic number.

55073401200 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 55073401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102452594400).

55073401200 is an abundant number, since it is smaller than the sum of its proper divisors (149831787600).

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

55073401200 is a wasteful number, since it uses less digits than its factorization.

55073401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 55073401200 its reverse (210437055), we get a palindrome (55283838255).

The spelling of 55073401200 in words is "fifty-five billion, seventy-three million, four hundred one thousand, two hundred".