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5663144160 = 253551131289
BaseRepresentation
bin1010100011000110…
…01011100011100000
3112121200012112100000
411101203023203200
543044231103120
62333540500000
7260223634242
oct52143134340
915550175300
105663144160
112446774033
1211206aa600
136c336559b
143ba1a4092
15232298990
hex1518cb8e0

5663144160 has 288 divisors, whose sum is σ = 20234279520. Its totient is φ = 1495646208.

The previous prime is 5663144143. The next prime is 5663144177. The reversal of 5663144160 is 614413665.

It is a happy number.

5663144160 is a `hidden beast` number, since 5 + 6 + 631 + 4 + 4 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5663144143) and next prime (5663144177).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4392796 + ... + 4394084.

It is an arithmetic number, because the mean of its divisors is an integer number (70257915).

Almost surely, 25663144160 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 5663144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10117139760).

5663144160 is an abundant number, since it is smaller than the sum of its proper divisors (14571135360).

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

5663144160 is a wasteful number, since it uses less digits than its factorization.

5663144160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5663144160 is about 75253.8647512538. The cubic root of 5663144160 is about 1782.4575908846.

The spelling of 5663144160 in words is "five billion, six hundred sixty-three million, one hundred forty-four thousand, one hundred sixty".