Search a number
-
+
36026169648 = 24372192927799
BaseRepresentation
bin100001100011010100…
…111011100100110000
310102222201121001001120
4201203110323210300
51042240144412043
624314501502240
72413522250400
oct414324734460
9112881531046
1036026169648
1114307919527
126b95111980
1335219c4561
141a5a90a800
15e0cbd0983
hex86353b930

36026169648 has 240 divisors, whose sum is σ = 117894240000. Its totient is φ = 9414849024.

The previous prime is 36026169643. The next prime is 36026169653. The reversal of 36026169648 is 84696162063.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36026169643) and next prime (36026169653).

It is a self number, because there is not a number n which added to its sum of digits gives 36026169648.

It is not an unprimeable number, because it can be changed into a prime (36026169643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1282053 + ... + 1309851.

It is an arithmetic number, because the mean of its divisors is an integer number (491226000).

Almost surely, 236026169648 is an apocalyptic number.

36026169648 is a gapful number since it is divisible by the number (38) 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 36026169648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58947120000).

36026169648 is an abundant number, since it is smaller than the sum of its proper divisors (81868070352).

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

36026169648 is a wasteful number, since it uses less digits than its factorization.

36026169648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27872 (or 27859 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 36026169648 in words is "thirty-six billion, twenty-six million, one hundred sixty-nine thousand, six hundred forty-eight".