Search a number
-
+
5086036008 = 233429893041
BaseRepresentation
bin1001011110010011…
…01100000000101000
3111010110021101210000
410233021230000220
540404011123013
62200403223000
7240015410214
oct45711540050
914113241700
105086036008
11217aa31149
12b9b377a60
13630923481
14363699944
151eb79d973
hex12f26c028

5086036008 has 160 divisors (see below), whose sum is σ = 14907321000. Its totient is φ = 1617960960.

The previous prime is 5086036003. The next prime is 5086036061. The reversal of 5086036008 is 8006306805.

It can be written as a sum of positive squares in 4 ways, for example, as 4829972004 + 256064004 = 69498^2 + 16002^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5086036003) 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 39 ways as a sum of consecutive naturals, for example, 1670968 + ... + 1674008.

Almost surely, 25086036008 is an apocalyptic number.

5086036008 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5086036008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7453660500).

5086036008 is an abundant number, since it is smaller than the sum of its proper divisors (9821284992).

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

5086036008 is a wasteful number, since it uses less digits than its factorization.

5086036008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177 (or 3164 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5086036008 is about 71316.4497714237. The cubic root of 5086036008 is about 1719.7281894261.

It can be divided in two parts, 50860 and 36008, that added together give a palindrome (86868).

The spelling of 5086036008 in words is "five billion, eighty-six million, thirty-six thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 89 108 116 162 174 178 216 232 261 267 324 348 356 522 534 648 696 712 783 801 1044 1068 1566 1602 2088 2136 2349 2403 2581 3041 3132 3204 4698 4806 5162 6082 6264 6408 7209 7743 9123 9396 9612 10324 12164 14418 15486 18246 18792 19224 20648 23229 24328 27369 28836 30972 36492 46458 54738 57672 61944 69687 72984 82107 88189 92916 109476 139374 164214 176378 185832 209061 218952 246321 264567 270649 278748 328428 352756 418122 492642 529134 541298 557496 656856 705512 793701 811947 836244 985284 1058268 1082596 1587402 1623894 1672488 1970568 2116536 2165192 2381103 2435841 3174804 3247788 4762206 4871682 6349608 6495576 7143309 7307523 7848821 9524412 9743364 14286618 14615046 15697642 19048824 19486728 21922569 23546463 28573236 29230092 31395284 43845138 47092926 57146472 58460184 62790568 70639389 87690276 94185852 141278778 175380552 188371704 211918167 282557556 423836334 565115112 635754501 847672668 1271509002 1695345336 2543018004 5086036008