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5764133763 = 3237107161773
BaseRepresentation
bin1010101111001000…
…11011001110000011
3112212201020100000200
411113210123032003
543301104240023
62351545220243
7262561220463
oct52744331603
915781210020
105764133763
112498781013
12114a491683
1370b26464b
143c9771ba3
1523b096743
hex15791b383

5764133763 has 24 divisors (see below), whose sum is σ = 8630966448. Its totient is φ = 3703931712.

The previous prime is 5764133743. The next prime is 5764133803. The reversal of 5764133763 is 3673314675.

It is a happy number.

5764133763 is a `hidden beast` number, since 576 + 4 + 1 + 3 + 3 + 76 + 3 = 666.

It is not a de Polignac number, because 5764133763 - 216 = 5764068227 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5764133743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45256 + ... + 116517.

It is an arithmetic number, because the mean of its divisors is an integer number (359623602).

Almost surely, 25764133763 is an apocalyptic number.

5764133763 is a deficient number, since it is larger than the sum of its proper divisors (2866832685).

5764133763 is a wasteful number, since it uses less digits than its factorization.

5764133763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161923 (or 161920 counting only the distinct ones).

The product of its digits is 952560, while the sum is 45.

The square root of 5764133763 is about 75921.8925146100. The cubic root of 5764133763 is about 1792.9906170322.

The spelling of 5764133763 in words is "five billion, seven hundred sixty-four million, one hundred thirty-three thousand, seven hundred sixty-three".

Divisors: 1 3 9 37 107 111 321 333 963 3959 11877 35631 161773 485319 1455957 5985601 17309711 17956803 51929133 53870409 155787399 640459307 1921377921 5764133763