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8363053440 = 27335731783
BaseRepresentation
bin1111100100111101…
…00001000110000000
3210120211120010121000
413302132201012000
5114111420202230
63501505132000
7414146532000
oct76236410600
923524503530
108363053440
1136017a8915
12175492a000
13a33819941
145949b2000
1533e311b60
hex1f27a1180

8363053440 has 1024 divisors, whose sum is σ = 37013760000. Its totient is φ = 1777434624.

The previous prime is 8363053421. The next prime is 8363053441. The reversal of 8363053440 is 443503638.

8363053440 is a `hidden beast` number, since 8 + 3 + 6 + 305 + 344 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 8363053395 and 8363053404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8363053441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100759639 + ... + 100759721.

It is an arithmetic number, because the mean of its divisors is an integer number (36146250).

Almost surely, 28363053440 is an apocalyptic number.

8363053440 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 8363053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506880000).

8363053440 is an abundant number, since it is smaller than the sum of its proper divisors (28650706560).

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

8363053440 is a wasteful number, since it uses less digits than its factorization.

8363053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 8363053440 is about 91449.7317655990. The cubic root of 8363053440 is about 2029.8079881804.

The spelling of 8363053440 in words is "eight billion, three hundred sixty-three million, fifty-three thousand, four hundred forty".