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21652405052040 = 2332571011076131297
BaseRepresentation
bin1001110110001010101111…
…11010010110001010001000
32211122221122100002110102100
410323011113322112022020
510314223111143131130
6114014551053033400
74363222532146140
oct473052772261210
984587570073370
1021652405052040
1169988081a1794
12251846a785860
13c10a75313ab9
1454bda6851920
15278367032c60
hex13b157e96288

21652405052040 has 768 divisors, whose sum is σ = 82175591646720. Its totient is φ = 4842668851200.

The previous prime is 21652405052029. The next prime is 21652405052051. The reversal of 21652405052040 is 4025050425612.

21652405052040 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 2 + 40 + 50 + 520 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (21652405052029) and next prime (21652405052051).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21652405051986 and 21652405052004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16694220672 + ... + 16694221968.

It is an arithmetic number, because the mean of its divisors is an integer number (106999468290).

Almost surely, 221652405052040 is an apocalyptic number.

21652405052040 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 21652405052040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41087795823360).

21652405052040 is an abundant number, since it is smaller than the sum of its proper divisors (60523186594680).

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

21652405052040 is a wasteful number, since it uses less digits than its factorization.

21652405052040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 21652405052040 its reverse (4025050425612), we get a palindrome (25677455477652).

The spelling of 21652405052040 in words is "twenty-one trillion, six hundred fifty-two billion, four hundred five million, fifty-two thousand, forty".