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8553263040 = 263457174759
BaseRepresentation
bin1111111011101000…
…00110111111000000
3211002002110210010000
413331310012333000
5120004113404130
63532422040000
7421646351640
oct77564067700
924062423100
108553263040
11369a104133
1217a8579000
13a640568ba
145b1d66520
15350d85260
hex1fdd06fc0

8553263040 has 1120 divisors, whose sum is σ = 38238013440. Its totient is φ = 1770356736.

The previous prime is 8553263039. The next prime is 8553263137. The reversal of 8553263040 is 403623558.

It is a happy number.

8553263040 is a `hidden beast` number, since 8 + 553 + 2 + 63 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8553262986 and 8553263004.

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 144970531 + ... + 144970589.

Almost surely, 28553263040 is an apocalyptic number.

8553263040 is a gapful number since it is divisible by the number (80) 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 8553263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19119006720).

8553263040 is an abundant number, since it is smaller than the sum of its proper divisors (29684750400).

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

8553263040 is a wasteful number, since it uses less digits than its factorization.

8553263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 8553263040 is about 92483.8528609184. The cubic root of 8553263040 is about 2045.0814497203.

Adding to 8553263040 its reverse (403623558), we get a palindrome (8956886598).

The spelling of 8553263040 in words is "eight billion, five hundred fifty-three million, two hundred sixty-three thousand, forty".