Base | Representation |
---|---|
bin | 111111101011101… |
… | …1011011010000100 |
3 | 12111220212010101200 |
4 | 1333113123122010 |
5 | 13334013114004 |
6 | 552012022500 |
7 | 103644623364 |
oct | 17727333204 |
9 | 5456763350 |
10 | 2136848004 |
11 | 9a7216595 |
12 | 4b7761a30 |
13 | 28091cb05 |
14 | 163b1c9a4 |
15 | c78e5239 |
hex | 7f5db684 |
2136848004 has 72 divisors (see below), whose sum is σ = 5547709440. Its totient is φ = 693091200.
The previous prime is 2136848003. The next prime is 2136848039. The reversal of 2136848004 is 4008486312.
It is a super-2 number, since 2×21368480042 = 9132238784397568032, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 2136848004.
It is not an unprimeable number, because it can be changed into a prime (2136848003) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 634477 + ... + 637835.
It is an arithmetic number, because the mean of its divisors is an integer number (77051520).
Almost surely, 22136848004 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 2136848004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773854720).
2136848004 is an abundant number, since it is smaller than the sum of its proper divisors (3410861436).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2136848004 is a wasteful number, since it uses less digits than its factorization.
2136848004 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3841 (or 3836 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
The square root of 2136848004 is about 46226.0533033051. The cubic root of 2136848004 is about 1288.0257451806.
The spelling of 2136848004 in words is "two billion, one hundred thirty-six million, eight hundred forty-eight thousand, four".
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