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21893462136 = 233771313751
BaseRepresentation
bin10100011000111100…
…111011100001111000
32002111210102010000000
4110120330323201320
5324314211242021
614020244513000
71403353233450
oct243074734170
962453363000
1021893462136
11931531a167
1242b00ab760
1320aba5c730
1410b996ad60
158820d6b26
hex518f3b878

21893462136 has 256 divisors, whose sum is σ = 75779020800. Its totient is φ = 5773680000.

The previous prime is 21893462119. The next prime is 21893462137. The reversal of 21893462136 is 63126439812.

21893462136 is a `hidden beast` number, since 2 + 18 + 9 + 3 + 4 + 621 + 3 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21893462091 and 21893462100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21893462137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1585261 + ... + 1599011.

It is an arithmetic number, because the mean of its divisors is an integer number (296011800).

Almost surely, 221893462136 is an apocalyptic number.

21893462136 is a gapful number since it is divisible by the number (26) 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 21893462136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37889510400).

21893462136 is an abundant number, since it is smaller than the sum of its proper divisors (53885558664).

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

21893462136 is a wasteful number, since it uses less digits than its factorization.

21893462136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13798 (or 13776 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 21893462136 in words is "twenty-one billion, eight hundred ninety-three million, four hundred sixty-two thousand, one hundred thirty-six".