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552401240040 = 2332513317948197
BaseRepresentation
bin10000000100111011010…
…11011111111111101000
31221210211210101111221200
420002131223133333220
533022304204140130
61101434123404200
754624006032046
oct10023553377750
91853753344850
10552401240040
111a32aa10a751
128b086083660
134012551b9a0
141ca44817396
15e5811e6760
hex809dadffe8

552401240040 has 384 divisors, whose sum is σ = 2021077094400. Its totient is φ = 129920993280.

The previous prime is 552401240033. The next prime is 552401240051. The reversal of 552401240040 is 40042104255.

552401240040 is a `hidden beast` number, since 5 + 5 + 240 + 12 + 400 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 552401239986 and 552401240013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11437222 + ... + 11485418.

It is an arithmetic number, because the mean of its divisors is an integer number (5263221600).

Almost surely, 2552401240040 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 552401240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010538547200).

552401240040 is an abundant number, since it is smaller than the sum of its proper divisors (1468675854360).

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

552401240040 is a wasteful number, since it uses less digits than its factorization.

552401240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48337 (or 48330 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 552401240040 its reverse (40042104255), we get a palindrome (592443344295).

The spelling of 552401240040 in words is "five hundred fifty-two billion, four hundred one million, two hundred forty thousand, forty".