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20216923272 = 233371323197227
BaseRepresentation
bin10010110101000001…
…011100010010001000
31221011221201010001000
4102311001130102020
5312401013021042
613142034455000
71313665004160
oct226501342210
957157633030
1020216923272
118634a20757
123b02734460
131ba2608ac0
14d9b0315a0
157d4d1974c
hex4b505c488

20216923272 has 512 divisors, whose sum is σ = 72808243200. Its totient is φ = 5051870208.

The previous prime is 20216923201. The next prime is 20216923273. The reversal of 20216923272 is 27232961202.

20216923272 is a `hidden beast` number, since 202 + 169 + 23 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20216923273) by changing a digit.

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, 89061223 + ... + 89061449.

It is an arithmetic number, because the mean of its divisors is an integer number (142203600).

Almost surely, 220216923272 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 20216923272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36404121600).

20216923272 is an abundant number, since it is smaller than the sum of its proper divisors (52591319928).

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

20216923272 is a wasteful number, since it uses less digits than its factorization.

20216923272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 20216923272 in words is "twenty billion, two hundred sixteen million, nine hundred twenty-three thousand, two hundred seventy-two".