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21022801632 = 2532727320407
BaseRepresentation
bin10011100101000011…
…100111111011100000
32000021010002222022200
4103211003213323200
5321023314123012
613354023333200
71342651602600
oct234503477340
960233088280
1021022801632
118a08907028
1240a85b1200
131ca05694c1
14103608ac00
158309533dc
hex4e50e7ee0

21022801632 has 216 divisors, whose sum is σ = 70500293136. Its totient is φ = 5923943424.

The previous prime is 21022801577. The next prime is 21022801643. The reversal of 21022801632 is 23610822012.

21022801632 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 28 + 0 + 1 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21022801596 and 21022801605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1019973 + ... + 1040379.

It is an arithmetic number, because the mean of its divisors is an integer number (326390246).

Almost surely, 221022801632 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 21022801632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35250146568).

21022801632 is an abundant number, since it is smaller than the sum of its proper divisors (49477491504).

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

21022801632 is a wasteful number, since it uses less digits than its factorization.

21022801632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20510 (or 20492 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 21022801632 in words is "twenty-one billion, twenty-two million, eight hundred one thousand, six hundred thirty-two".