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21059870832 = 243371113311571
BaseRepresentation
bin10011100111010001…
…000010000001110000
32000100200212021201000
4103213101002001300
5321112311331312
613401430042000
71343611643220
oct234721020160
960320767630
1021059870832
118a27825730
1240b8aa9300
131ca8148040
14103ad7a080
15833d26adc
hex4e7442070

21059870832 has 640 divisors, whose sum is σ = 83834634240. Its totient is φ = 4883328000.

The previous prime is 21059870803. The next prime is 21059870879. The reversal of 21059870832 is 23807895012.

It is a happy number.

21059870832 is a `hidden beast` number, since 21 + 0 + 598 + 7 + 0 + 8 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13404607 + ... + 13406177.

It is an arithmetic number, because the mean of its divisors is an integer number (130991616).

Almost surely, 221059870832 is an apocalyptic number.

21059870832 is a gapful number since it is divisible by the number (22) 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 21059870832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41917317120).

21059870832 is an abundant number, since it is smaller than the sum of its proper divisors (62774763408).

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

21059870832 is a wasteful number, since it uses less digits than its factorization.

21059870832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 21059870832 in words is "twenty-one billion, fifty-nine million, eight hundred seventy thousand, eight hundred thirty-two".