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40552528896 = 21032113071303
BaseRepresentation
bin100101110001000111…
…100111110000000000
310212200011201220122200
4211301013213300000
51131022421411041
630343553233200
72633633544135
oct456107476000
9125604656580
1040552528896
111621a9331a0
127a38b62800
133a93699b39
141d69b1858c
1510c52791b6
hex9711e7c00

40552528896 has 264 divisors, whose sum is σ = 128253949824. Its totient is φ = 12239216640.

The previous prime is 40552528889. The next prime is 40552528921. The reversal of 40552528896 is 69882525504.

40552528896 is a `hidden beast` number, since 4 + 0 + 5 + 525 + 28 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31121781 + ... + 31123083.

It is an arithmetic number, because the mean of its divisors is an integer number (485810416).

Almost surely, 240552528896 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 40552528896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64126974912).

40552528896 is an abundant number, since it is smaller than the sum of its proper divisors (87701420928).

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

40552528896 is a wasteful number, since it uses less digits than its factorization.

40552528896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 40552528896 in words is "forty billion, five hundred fifty-two million, five hundred twenty-eight thousand, eight hundred ninety-six".