Search a number
-
+
2012841615252 = 22313175379181273
BaseRepresentation
bin11101010010100110101…
…101011001111110010100
321010102111101121111101210
4131102212231121332110
5230434244423142002
64140404153221420
7265265043301416
oct35224655317624
97112441544353
102012841615252
11706706687456
12286128701870
13117a6bb8c890
146d5ca18a9b6
153755a59596c
hex1d4a6b59f94

2012841615252 has 192 divisors, whose sum is σ = 5525579566080. Its totient is φ = 564663730176.

The previous prime is 2012841615143. The next prime is 2012841615259. The reversal of 2012841615252 is 2525161482102.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2012841615252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012841615259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11013288 + ... + 11194560.

It is an arithmetic number, because the mean of its divisors is an integer number (28779060240).

Almost surely, 22012841615252 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 2012841615252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762789783040).

2012841615252 is an abundant number, since it is smaller than the sum of its proper divisors (3512737950828).

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

2012841615252 is a wasteful number, since it uses less digits than its factorization.

2012841615252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181442 (or 181440 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 2012841615252 in words is "two trillion, twelve billion, eight hundred forty-one million, six hundred fifteen thousand, two hundred fifty-two".