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21421431432 = 233223432831063
BaseRepresentation
bin10011111100110100…
…010001101010001000
32001021220012110121100
4103330310101222020
5322332341301212
613501343341400
71355562106602
oct237464215210
961256173540
1021421431432
1190a2926545
124199bb1860
13203501b21b
141072db6172
15855945bdc
hex4fcd11a88

21421431432 has 192 divisors, whose sum is σ = 62224081920. Its totient is φ = 6641357184.

The previous prime is 21421431413. The next prime is 21421431433. The reversal of 21421431432 is 23413412412.

21421431432 is a `hidden beast` number, since 2 + 14 + 214 + 3 + 1 + 432 = 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 = 21421431396 and 21421431405.

It is not an unprimeable number, because it can be changed into a prime (21421431433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20151333 + ... + 20152395.

It is an arithmetic number, because the mean of its divisors is an integer number (324083760).

Almost surely, 221421431432 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 21421431432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31112040960).

21421431432 is an abundant number, since it is smaller than the sum of its proper divisors (40802650488).

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

21421431432 is a wasteful number, since it uses less digits than its factorization.

21421431432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1417 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 21421431432 its reverse (23413412412), we get a palindrome (44834843844).

The spelling of 21421431432 in words is "twenty-one billion, four hundred twenty-one million, four hundred thirty-one thousand, four hundred thirty-two".