Search a number
-
+
21135885884280 = 23325163881408841
BaseRepresentation
bin1001100111001000101001…
…11110000101101101111000
32202211120102020011002002200
410303210110332011231320
510232242243241244110
6112541405242430200
74311005645520516
oct463442476055570
982746366132080
1021135885884280
116809751630032
122454339502360
13ba414a9a635b
14530da77554b6
15269bd60566c0
hex133914f85b78

21135885884280 has 192 divisors, whose sum is σ = 69191667810720. Its totient is φ = 5595286118400.

The previous prime is 21135885884273. The next prime is 21135885884287. The reversal of 21135885884280 is 8248858853112.

21135885884280 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 5 + 8 + 8 + 588 + 42 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21135885884273) and next prime (21135885884287).

It is a super-2 number, since 2×211358858842802 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21135885884287) 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 47 ways as a sum of consecutive naturals, for example, 51492660 + ... + 51901500.

Almost surely, 221135885884280 is an apocalyptic number.

21135885884280 is a gapful number since it is divisible by the number (20) 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 21135885884280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34595833905360).

21135885884280 is an abundant number, since it is smaller than the sum of its proper divisors (48055781926440).

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

21135885884280 is a wasteful number, since it uses less digits than its factorization.

21135885884280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409902 (or 409895 counting only the distinct ones).

The product of its (nonzero) digits is 39321600, while the sum is 63.

The spelling of 21135885884280 in words is "twenty-one trillion, one hundred thirty-five billion, eight hundred eighty-five million, eight hundred eighty-four thousand, two hundred eighty".