Search a number
-
+
5360564664 = 2333713272719
BaseRepresentation
bin1001111111000001…
…11011100110111000
3111211120211220022000
410333200323212320
541434301032124
62243531301000
7246561022260
oct47740734670
914746756260
105360564664
112300998634
1210572aa760
13675773670
1438bd1c7a0
1521592a6c9
hex13f83b9b8

5360564664 has 128 divisors (see below), whose sum is σ = 18326784000. Its totient is φ = 1413770112.

The previous prime is 5360564659. The next prime is 5360564669. The reversal of 5360564664 is 4664650635.

5360564664 is a `hidden beast` number, since 536 + 0 + 56 + 4 + 6 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (5360564659) and next prime (5360564669).

It is a super-3 number, since 3×53605646643 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5360564669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116704 + ... + 156015.

It is an arithmetic number, because the mean of its divisors is an integer number (143178000).

Almost surely, 25360564664 is an apocalyptic number.

5360564664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5360564664 is an abundant number, since it is smaller than the sum of its proper divisors (12966219336).

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

5360564664 is a wasteful number, since it uses less digits than its factorization.

5360564664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272754 (or 272744 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The square root of 5360564664 is about 73215.8771305787. The cubic root of 5360564664 is about 1750.1294776582.

The spelling of 5360564664 in words is "five billion, three hundred sixty million, five hundred sixty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 19656 272719 545438 818157 1090876 1636314 1909033 2181752 2454471 3272628 3545347 3818066 4908942 5727099 6545256 7090694 7363413 7636132 9817884 10636041 11454198 14181388 14726826 15272264 17181297 19635768 21272082 22908396 24817429 28362776 29453652 31908123 34362594 42544164 45816792 49634858 51543891 58907304 63816246 68725188 74452287 85088328 95724369 99269716 103087782 127632492 137450376 148904574 191448738 198539432 206175564 223356861 255264984 297809148 382897476 412351128 446713722 595618296 670070583 765794952 893427444 1340141166 1786854888 2680282332 5360564664