Search a number
-
+
5677181568 = 27335692887
BaseRepresentation
bin1010100100110001…
…01110101010000000
3112122122121201001000
411102120232222000
543111324302233
62335201412000
7260454150522
oct52230565200
915578551030
105677181568
1124536915a3
12112533a000
136c623ba46
143bbdb9a12
1523361cd13
hex15262ea80

5677181568 has 128 divisors (see below), whose sum is σ = 16790832000. Its totient is φ = 1888413696.

The previous prime is 5677181567. The next prime is 5677181599. The reversal of 5677181568 is 8651817765.

5677181568 is a `hidden beast` number, since 5 + 6 + 7 + 71 + 8 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×56771815683 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5677181567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1965021 + ... + 1967907.

It is an arithmetic number, because the mean of its divisors is an integer number (131178375).

Almost surely, 25677181568 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 5677181568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8395416000).

5677181568 is an abundant number, since it is smaller than the sum of its proper divisors (11113650432).

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

5677181568 is a wasteful number, since it uses less digits than its factorization.

5677181568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479 (or 3461 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 54.

The square root of 5677181568 is about 75347.0740506889. The cubic root of 5677181568 is about 1783.9291196946.

The spelling of 5677181568 in words is "five billion, six hundred seventy-seven million, one hundred eighty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 569 576 864 1138 1152 1707 1728 2276 2887 3414 3456 4552 5121 5774 6828 8661 9104 10242 11548 13656 15363 17322 18208 20484 23096 25983 27312 30726 34644 36416 40968 46192 51966 54624 61452 69288 72832 77949 81936 92384 103932 109248 122904 138576 155898 163872 184768 207864 218496 245808 277152 311796 327744 369536 415728 491616 554304 623592 655488 831456 983232 1108608 1247184 1642703 1662912 1966464 2494368 3285406 3325824 4928109 4988736 6570812 9856218 9977472 13141624 14784327 19712436 26283248 29568654 39424872 44352981 52566496 59137308 78849744 88705962 105132992 118274616 157699488 177411924 210265984 236549232 315398976 354823848 473098464 630797952 709647696 946196928 1419295392 1892393856 2838590784 5677181568