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5766007842 = 23478361261
BaseRepresentation
bin1010101111010111…
…00100110000100010
3112212211202112210000
411113223210300202
543302044222332
62352053320430
7262613154330
oct52753446042
915784675700
105766007842
112499841041
12114b036116
1370b76c67a
143c9adcb50
1523b316b7c
hex157ae4c22

5766007842 has 80 divisors (see below), whose sum is σ = 14944007232. Its totient is φ = 1627555680.

The previous prime is 5766007829. The next prime is 5766007847. The reversal of 5766007842 is 2487006675.

5766007842 is a `hidden beast` number, since 576 + 6 + 0 + 0 + 78 + 4 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (5766007847) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63492 + ... + 124752.

Almost surely, 25766007842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5766007842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7472003616).

5766007842 is an abundant number, since it is smaller than the sum of its proper divisors (9177999390).

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

5766007842 is a wasteful number, since it uses less digits than its factorization.

5766007842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61365 (or 61356 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 5766007842 is about 75934.2336630851. The cubic root of 5766007842 is about 1793.1849128913.

The spelling of 5766007842 in words is "five billion, seven hundred sixty-six million, seven thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 83 126 162 166 189 249 378 498 567 581 747 1134 1162 1494 1743 2241 3486 4482 5229 6723 10458 13446 15687 31374 47061 61261 94122 122522 183783 367566 428827 551349 857654 1102698 1286481 1654047 2572962 3308094 3859443 4962141 5084663 7718886 9924282 10169326 11578329 15253989 23156658 30507978 34734987 35592641 45761967 69469974 71185282 91523934 106777923 137285901 213555846 274571802 320333769 411857703 640667538 823715406 961001307 1922002614 2883003921 5766007842