Search a number
-
+
5766144880 = 245411757971
BaseRepresentation
bin1010101111011000…
…00110001101110000
3112212212000111202111
411113230012031300
543302113114010
62352100255104
7262614265006
oct52754061560
915785014674
105766144880
112499924aa1
12114b0a1494
1370b7b9b62
143c9b36a76
1523b34258a
hex157b06370

5766144880 has 40 divisors (see below), whose sum is σ = 13733277264. Its totient is φ = 2250201600.

The previous prime is 5766144869. The next prime is 5766144889. The reversal of 5766144880 is 884416675.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-5 number, since 5×57661448805 (a number of 50 digits) contains 55555 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5766144889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 875706 + ... + 882265.

Almost surely, 25766144880 is an apocalyptic number.

It is an amenable number.

5766144880 is an abundant number, since it is smaller than the sum of its proper divisors (7967132384).

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

5766144880 is a wasteful number, since it uses less digits than its factorization.

5766144880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758025 (or 1758019 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The square root of 5766144880 is about 75935.1360043557. The cubic root of 5766144880 is about 1793.1991187066.

The spelling of 5766144880 in words is "five billion, seven hundred sixty-six million, one hundred forty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 1757971 3515942 7031884 8789855 14063768 17579710 28127536 35159420 70318840 72076811 140637680 144153622 288307244 360384055 576614488 720768110 1153228976 1441536220 2883072440 5766144880