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21627367091 = 1132921392
BaseRepresentation
bin10100001001000101…
…110110111010110011
32001211020201002012222
4110021011312322303
5323243101221331
613534021311255
71363642405241
oct241105667263
961736632188
1021627367091
1191990a3000
124236b6552b
1320688a3145
1410924a1791
15868a73b7b
hex509176eb3

21627367091 has 36 divisors (see below), whose sum is σ = 24815577384. Its totient is φ = 18846698640.

The previous prime is 21627367081. The next prime is 21627367103. The reversal of 21627367091 is 19076372612.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a de Polignac number, because none of the positive numbers 2k-21627367091 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21627367051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155592500 + ... + 155592638.

It is an arithmetic number, because the mean of its divisors is an integer number (689321594).

Almost surely, 221627367091 is an apocalyptic number.

21627367091 is a deficient number, since it is larger than the sum of its proper divisors (3188210293).

21627367091 is an frugal number, since it uses more digits than its factorization.

21627367091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 44.

Multiplying 21627367091 by its sum of digits (44), we get a square (951604152004 = 9755022).

The spelling of 21627367091 in words is "twenty-one billion, six hundred twenty-seven million, three hundred sixty-seven thousand, ninety-one".

Divisors: 1 11 29 121 139 319 841 1331 1529 3509 4031 9251 16819 19321 38599 44341 101761 116899 185009 212531 487751 560309 1119371 1285889 2337841 5365261 6163399 14144779 16248961 25716251 67797389 155592569 178738571 745771279 1966124281 21627367091