Search a number
-
+
5768130312 = 233377153731
BaseRepresentation
bin1010101111100111…
…01010111100001000
3112212222202101021000
411113303222330020
543303120132222
62352211015000
7262640204310
oct52763527410
915788671230
105768130312
11249aa6074a
12114b89a460
1370c033779
143ca0d2440
1523b5d59ac
hex157ceaf08

5768130312 has 128 divisors (see below), whose sum is σ = 18569779200. Its totient is φ = 1624795200.

The previous prime is 5768130307. The next prime is 5768130341. The reversal of 5768130312 is 2130318675.

5768130312 is a `hidden beast` number, since 576 + 81 + 3 + 0 + 3 + 1 + 2 = 666.

It is a super-4 number, since 4×57681303124 (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80487 + ... + 134217.

It is an arithmetic number, because the mean of its divisors is an integer number (145076400).

Almost surely, 25768130312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5768130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9284889600).

5768130312 is an abundant number, since it is smaller than the sum of its proper divisors (12801648888).

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

5768130312 is a wasteful number, since it uses less digits than its factorization.

5768130312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53824 (or 53814 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5768130312 is about 75948.2080894605. The cubic root of 5768130312 is about 1793.4049099492.

Adding to 5768130312 its reverse (2130318675), we get a palindrome (7898448987).

The spelling of 5768130312 in words is "five billion, seven hundred sixty-eight million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 71 72 84 108 126 142 168 189 213 216 252 284 378 426 497 504 568 639 756 852 994 1278 1491 1512 1704 1917 1988 2556 2982 3834 3976 4473 5112 5964 7668 8946 11928 13419 15336 17892 26838 35784 53676 53731 107352 107462 161193 214924 322386 376117 429848 483579 644772 752234 967158 1128351 1289544 1450737 1504468 1934316 2256702 2901474 3008936 3385053 3814901 3868632 4513404 5802948 6770106 7629802 9026808 10155159 11444703 11605896 13540212 15259604 20310318 22889406 26704307 27080424 30519208 34334109 40620636 45778812 53408614 68668218 80112921 81241272 91557624 103002327 106817228 137336436 160225842 206004654 213634456 240338763 274672872 320451684 412009308 480677526 640903368 721016289 824018616 961355052 1442032578 1922710104 2884065156 5768130312