Search a number
-
+
8342648136 = 23341719231733
BaseRepresentation
bin1111100010100001…
…01011010101001000
3210112102011102210000
413301100223111020
5114041204220021
63455455523000
7413511224214
oct76120532510
923472142700
108342648136
1135a1231029
121749b29460
13a2c523bb4
14591dbd944
1533c630b26
hex1f142b548

8342648136 has 320 divisors, whose sum is σ = 27191894400. Its totient is φ = 2370373632.

The previous prime is 8342648129. The next prime is 8342648183. The reversal of 8342648136 is 6318462438.

It is a super-2 number, since 2×83426481362 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8342648091 and 8342648100.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4813126 + ... + 4814858.

It is an arithmetic number, because the mean of its divisors is an integer number (84974670).

Almost surely, 28342648136 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 8342648136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13595947200).

8342648136 is an abundant number, since it is smaller than the sum of its proper divisors (18849246264).

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

8342648136 is a wasteful number, since it uses less digits than its factorization.

8342648136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1797 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 8342648136 is about 91338.0979438482. The cubic root of 8342648136 is about 2028.1557773970.

The spelling of 8342648136 in words is "eight billion, three hundred forty-two million, six hundred forty-eight thousand, one hundred thirty-six".