Search a number
-
+
5301001221472 = 2511192967503811
BaseRepresentation
bin100110100100011110001…
…0010110111010101100000
3200202202210220000110211001
41031020330102313111200
51143322422303041342
615135125113201344
71054661515633525
oct115107422672540
920682726013731
105301001221472
111764161aa1320
12717452700254
132c5b61469cc8
141447d987314c
1592d57c538b7
hex4d23c4b7560

5301001221472 has 384 divisors, whose sum is σ = 12623172710400. Its totient is φ = 2164129228800.

The previous prime is 5301001221433. The next prime is 5301001221541. The reversal of 5301001221472 is 2741221001035.

It is a super-2 number, since 2×53010012214722 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5301001221472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6536375947 + ... + 6536376757.

It is an arithmetic number, because the mean of its divisors is an integer number (32872845600).

Almost surely, 25301001221472 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 5301001221472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6311586355200).

5301001221472 is an abundant number, since it is smaller than the sum of its proper divisors (7322171488928).

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

5301001221472 is a wasteful number, since it uses less digits than its factorization.

5301001221472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 5301001221472 in words is "five trillion, three hundred one billion, one million, two hundred twenty-one thousand, four hundred seventy-two".