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21927234816 = 283337831033
BaseRepresentation
bin10100011010111101…
…110000110100000000
32002121010221221102000
4110122331300310000
5324401333003231
614023452424000
71404243264204
oct243275606400
962533857360
1021927234816
119332397073
1242bb478000
1320b5a55976
1410c023cb04
158850586e6
hex51af70d00

21927234816 has 288 divisors, whose sum is σ = 67462792320. Its totient is φ = 7019053056.

The previous prime is 21927234809. The next prime is 21927234821. The reversal of 21927234816 is 61843272912.

21927234816 is a `hidden beast` number, since 21 + 9 + 272 + 348 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21226236 + ... + 21227268.

Almost surely, 221927234816 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 21927234816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33731396160).

21927234816 is an abundant number, since it is smaller than the sum of its proper divisors (45535557504).

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

21927234816 is a wasteful number, since it uses less digits than its factorization.

21927234816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1158 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 21927234816 in words is "twenty-one billion, nine hundred twenty-seven million, two hundred thirty-four thousand, eight hundred sixteen".