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5763663675 = 3352711173641
BaseRepresentation
bin1010101111000101…
…01000011100111011
3112212200100110012000
411113202220130323
543300444214200
62351531152043
7262554222120
oct52742503473
915780313160
105763663675
11249848a910
12114a2a5623
1370b12b6a3
143c968c747
1523b002300
hex1578a873b

5763663675 has 192 divisors, whose sum is σ = 13297720320. Its totient is φ = 2377728000.

The previous prime is 5763663643. The next prime is 5763663701.

It is a happy number.

5763663675 is a `hidden beast` number, since 576 + 3 + 6 + 6 + 3 + 67 + 5 = 666.

5763663675 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5763663675 - 25 = 5763663643 is a prime.

Its product of digits (14288400) is a multiple of the sum of its prime divisors (840).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8991355 + ... + 8991995.

It is an arithmetic number, because the mean of its divisors is an integer number (69258960).

Almost surely, 25763663675 is an apocalyptic number.

5763663675 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5763663675 is an abundant number, since it is smaller than the sum of its proper divisors (7534056645).

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

5763663675 is a wasteful number, since it uses less digits than its factorization.

5763663675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 840 counting only the distinct ones).

The product of its digits is 14288400, while the sum is 54.

The square root of 5763663675 is about 75918.7965855624. The cubic root of 5763663675 is about 1792.9418738720.

The spelling of 5763663675 in words is "five billion, seven hundred sixty-three million, six hundred sixty-three thousand, six hundred seventy-five".