Search a number
-
+
986042074108 = 227135361982571
BaseRepresentation
bin11100101100101001011…
…00000000001111111100
310111021010222010022201211
432112110230000033330
5112123403232332413
62032551555414204
7131145020224360
oct16262454001774
93437128108654
10986042074108
113501a6054653
1213b1275b4364
1371ca25cb5b0
1435a207a32a0
151a9b119483d
hexe594b003fc

986042074108 has 96 divisors (see below), whose sum is σ = 2167376279040. Its totient is φ = 382099610880.

The previous prime is 986042074091. The next prime is 986042074307. The reversal of 986042074108 is 801470240689.

It is a happy number.

It is a super-2 number, since 2×9860420741082 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 11900463 + ... + 11983033.

It is an arithmetic number, because the mean of its divisors is an integer number (22576836240).

Almost surely, 2986042074108 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 986042074108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083688139520).

986042074108 is an abundant number, since it is smaller than the sum of its proper divisors (1181334204932).

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

986042074108 is a wasteful number, since it uses less digits than its factorization.

986042074108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83267 (or 83265 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

It can be divided in two parts, 98604 and 2074108, that added together give a palindrome (2172712).

The spelling of 986042074108 in words is "nine hundred eighty-six billion, forty-two million, seventy-four thousand, one hundred eight".

Divisors: 1 2 4 7 13 14 26 28 52 53 91 106 182 212 364 371 619 689 742 1238 1378 1484 2476 2756 4333 4823 8047 8666 9646 16094 17332 19292 32188 32807 56329 65614 82571 112658 131228 165142 225316 229649 330284 426491 459298 577997 852982 918596 1073423 1155994 1705964 2146846 2311988 2985437 4293692 4376263 5970874 7513961 8752526 11941748 15027922 17505052 30055844 30633841 51111449 56891419 61267682 102222898 113782838 122535364 204445796 227565676 357780143 398239933 664448837 715560286 796479866 1328897674 1431120572 1592959732 2657795348 2708906797 4651141859 5417813594 9302283718 10835627188 18604567436 18962347579 35215788361 37924695158 70431576722 75849390316 140863153444 246510518527 493021037054 986042074108