Search a number
-
+
247860000136 = 23717971268133
BaseRepresentation
bin1110011011010110011…
…0110111010110001000
3212200202210022121012001
43212311212313112020
513030104130001021
6305510524000344
723623126145050
oct3466546672610
9780683277161
10247860000136
1196131565721
12400539900b4
131a4b0907598
14bdd4512560
1566aa000091
hex39b59b7588

247860000136 has 64 divisors (see below), whose sum is σ = 562952695680. Its totient is φ = 99873807360.

The previous prime is 247860000133. The next prime is 247860000139. The reversal of 247860000136 is 631000068742.

It is an interprime number because it is at equal distance from previous prime (247860000133) and next prime (247860000139).

It is a super-2 number, since 2×2478600001362 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 247860000095 and 247860000104.

It is not an unprimeable number, because it can be changed into a prime (247860000133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 790326 + ... + 1058458.

It is an arithmetic number, because the mean of its divisors is an integer number (8796135870).

Almost surely, 2247860000136 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 247860000136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281476347840).

247860000136 is an abundant number, since it is smaller than the sum of its proper divisors (315092695544).

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

247860000136 is a wasteful number, since it uses less digits than its factorization.

247860000136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269134 (or 269130 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

Adding to 247860000136 its reverse (631000068742), we get a palindrome (878860068878).

It can be divided in two parts, 247860000 and 136, that multiplied together give a square (33708960000 = 1836002).

The spelling of 247860000136 in words is "two hundred forty-seven billion, eight hundred sixty million, one hundred thirty-six", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 971 1942 3884 6797 7768 13594 16507 27188 33014 54376 66028 115549 132056 231098 268133 462196 536266 924392 1072532 1876931 2145064 3753862 4558261 7507724 9116522 15015448 18233044 31907827 36466088 63815654 127631308 255262616 260357143 520714286 1041428572 1822500001 2082857144 3645000002 4426071431 7290000004 8852142862 14580000008 17704285724 30982500017 35408571448 61965000034 123930000068 247860000136