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55104340032 = 2632728921937
BaseRepresentation
bin110011010100011110…
…011000000001000000
312021020022112111210200
4303110132120001000
51400323202340112
641151541125200
73660352106400
oct632436300100
9167208474720
1055104340032
1121407a66295
12a81a3b9800
135272401681
14294a5d2800
151677a5bcdc
hexcd4798040

55104340032 has 252 divisors, whose sum is σ = 185806742940. Its totient is φ = 15566487552.

The previous prime is 55104340021. The next prime is 55104340087. The reversal of 55104340032 is 23004340155.

55104340032 is a `hidden beast` number, since 551 + 0 + 43 + 40 + 0 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9725115456 + 45379224576 = 98616^2 + 213024^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×551043400322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55104339978 and 55104340005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2500968 + ... + 2522904.

It is an arithmetic number, because the mean of its divisors is an integer number (737328345).

Almost surely, 255104340032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55104340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92903371470).

55104340032 is an abundant number, since it is smaller than the sum of its proper divisors (130702402908).

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

55104340032 is a wasteful number, since it uses less digits than its factorization.

55104340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22058 (or 22038 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 55104340032 its reverse (23004340155), we get a palindrome (78108680187).

The spelling of 55104340032 in words is "fifty-five billion, one hundred four million, three hundred forty thousand, thirty-two".