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5653815552 = 28347113541
BaseRepresentation
bin1010100001111111…
…00110000100000000
3112121000122120220000
411100333212010000
543034334044202
62333004520000
7260051432160
oct52077460400
915530576800
105653815552
112441482340
121119550000
136c144a4b8
143b8c565a0
1523155491c
hex150fe6100

5653815552 has 360 divisors, whose sum is σ = 21024518592. Its totient is φ = 1468108800.

The previous prime is 5653815551. The next prime is 5653815571. The reversal of 5653815552 is 2555183565.

It is a happy number.

5653815552 is a `hidden beast` number, since 5 + 65 + 38 + 1 + 5 + 552 = 666.

It is a super-3 number, since 3×56538155523 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5653815498 and 5653815507.

It is not an unprimeable number, because it can be changed into a prime (5653815551) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1594902 + ... + 1598442.

Almost surely, 25653815552 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 5653815552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10512259296).

5653815552 is an abundant number, since it is smaller than the sum of its proper divisors (15370703040).

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

5653815552 is a wasteful number, since it uses less digits than its factorization.

5653815552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587 (or 3564 counting only the distinct ones).

The product of its digits is 900000, while the sum is 45.

The square root of 5653815552 is about 75191.8582826625. The cubic root of 5653815552 is about 1781.4783358921.

The spelling of 5653815552 in words is "five billion, six hundred fifty-three million, eight hundred fifteen thousand, five hundred fifty-two".