Search a number
-
+
133523415152020 = 225145319012417017
BaseRepresentation
bin11110010111000001010111…
…101110101011010110010100
3122111202201021101020020120001
4132113001113232223112110
5120000121423234331040
61151551450552421044
740060514462304445
oct3627012756532624
9574681241206501
10133523415152020
11395a9a649a5703
1212b858956a7784
13596728630a19a
1424d87d3d932cc
1510683b53d859a
hex797057bab594

133523415152020 has 48 divisors (see below), whose sum is σ = 280739869836048. Its totient is φ = 53344509926400.

The previous prime is 133523415152003. The next prime is 133523415152051. The reversal of 133523415152020 is 20251514325331.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 16330925651716 + 117192489500304 = 4041154^2 + 10825548^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54034552 + ... + 56451568.

It is an arithmetic number, because the mean of its divisors is an integer number (5848747288251).

Almost surely, 2133523415152020 is an apocalyptic number.

133523415152020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133523415152020 is an abundant number, since it is smaller than the sum of its proper divisors (147216454684028).

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

133523415152020 is a wasteful number, since it uses less digits than its factorization.

133523415152020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420380 (or 2420378 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

Adding to 133523415152020 its reverse (20251514325331), we get a palindrome (153774929477351).

The spelling of 133523415152020 in words is "one hundred thirty-three trillion, five hundred twenty-three billion, four hundred fifteen million, one hundred fifty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 1453 1901 2906 3802 5812 7265 7604 9505 14530 19010 29060 38020 2417017 2762153 4834034 5524306 9668068 11048612 12085085 13810765 24170170 27621530 48340340 55243060 3511925701 4594749317 7023851402 9189498634 14047702804 17559628505 18378997268 22973746585 35119257010 45947493170 70238514020 91894986340 6676170757601 13352341515202 26704683030404 33380853788005 66761707576010 133523415152020