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5663871864 = 233473147857
BaseRepresentation
bin1010100011001011…
…11101001101111000
3112121201120111120000
411101211331031320
543044422344424
62334004233000
7260233054650
oct52145751570
915551514500
105663871864
112447120842
12112099b760
136c355b891
143ba313360
1523238e3c9
hex15197d378

5663871864 has 320 divisors, whose sum is σ = 19135733760. Its totient is φ = 1530938880.

The previous prime is 5663871859. The next prime is 5663871931. The reversal of 5663871864 is 4681783665.

5663871864 is a `hidden beast` number, since 566 + 3 + 8 + 7 + 18 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5806080) is a multiple of the sum of its prime factors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 5663871864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6608524 + ... + 6609380.

It is an arithmetic number, because the mean of its divisors is an integer number (59799168).

Almost surely, 25663871864 is an apocalyptic number.

5663871864 is a gapful number since it is divisible by the number (54) 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 5663871864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9567866880).

5663871864 is an abundant number, since it is smaller than the sum of its proper divisors (13471861896).

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

5663871864 is a wasteful number, since it uses less digits than its factorization.

5663871864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 947 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 5663871864 is about 75258.6995901471. The cubic root of 5663871864 is about 1782.5339351630.

The spelling of 5663871864 in words is "five billion, six hundred sixty-three million, eight hundred seventy-one thousand, eight hundred sixty-four".