Search a number
-
+
5469065136 = 243331478689
BaseRepresentation
bin1010001011111101…
…10100111110110000
3112010011000021222000
411011332310332300
542200040041021
62302405014000
7252346200213
oct50576647660
915104007860
105469065136
112357165647
1210876b4300
136920a2322
1439c4c377a
1522020db26
hex145fb4fb0

5469065136 has 160 divisors (see below), whose sum is σ = 16551321600. Its totient is φ = 1726479360.

The previous prime is 5469065083. The next prime is 5469065141. The reversal of 5469065136 is 6315609645.

5469065136 is a `hidden beast` number, since 5 + 46 + 90 + 6 + 513 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5469065091 and 5469065100.

It is an unprimeable number.

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, 625080 + ... + 633768.

It is an arithmetic number, because the mean of its divisors is an integer number (103445760).

Almost surely, 25469065136 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 5469065136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8275660800).

5469065136 is an abundant number, since it is smaller than the sum of its proper divisors (11082256464).

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

5469065136 is a wasteful number, since it uses less digits than its factorization.

5469065136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8784 (or 8772 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 5469065136 is about 73953.1279663004. The cubic root of 5469065136 is about 1761.8585240048.

The spelling of 5469065136 in words is "five billion, four hundred sixty-nine million, sixty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 47 48 54 62 72 93 94 108 124 141 144 186 188 216 248 279 282 372 376 423 432 496 558 564 744 752 837 846 1116 1128 1269 1457 1488 1674 1692 2232 2256 2538 2914 3348 3384 4371 4464 5076 5828 6696 6768 8689 8742 10152 11656 13113 13392 17378 17484 20304 23312 26067 26226 34756 34968 39339 52134 52452 69512 69936 78201 78678 104268 104904 139024 156402 157356 208536 209808 234603 269359 312804 314712 408383 417072 469206 538718 625608 629424 808077 816766 938412 1077436 1225149 1251216 1616154 1633532 1876824 2154872 2424231 2450298 3232308 3267064 3675447 3753648 4309744 4848462 4900596 6464616 6534128 7272693 7350894 9696924 9801192 11026341 12659873 12929232 14545386 14701788 19393848 19602384 22052682 25319746 29090772 29403576 37979619 38787696 44105364 50639492 58181544 58807152 75959238 88210728 101278984 113938857 116363088 151918476 176421456 202557968 227877714 303836952 341816571 455755428 607673904 683633142 911510856 1367266284 1823021712 2734532568 5469065136