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1827216909 = 32731931153
BaseRepresentation
bin110110011101001…
…0001111000001101
311201100020020101100
41230322101320031
512220231420114
6501151333313
763165042000
oct15472217015
94640206340
101827216909
11858464121
1242bb21239
1323172c34b
1413495d537
15aa632909
hex6ce91e0d

1827216909 has 48 divisors (see below), whose sum is σ = 3240016000. Its totient is φ = 989138304.

The previous prime is 1827216887. The next prime is 1827216977. The reversal of 1827216909 is 9096127281.

1827216909 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1827216909 - 28 = 1827216653 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1827216109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43077 + ... + 74229.

Almost surely, 21827216909 is an apocalyptic number.

1827216909 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1827216909 is a deficient number, since it is larger than the sum of its proper divisors (1412799091).

1827216909 is a wasteful number, since it uses less digits than its factorization.

1827216909 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31199 (or 31182 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1827216909 is about 42745.9578088970. The cubic root of 1827216909 is about 1222.5408188912.

The spelling of 1827216909 in words is "one billion, eight hundred twenty-seven million, two hundred sixteen thousand, nine hundred nine".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 343 399 441 931 1029 1197 2793 3087 6517 8379 19551 31153 58653 93459 218071 280377 591907 654213 1526497 1775721 1962639 4143349 4579491 5327163 10685479 12430047 13738473 29003443 32056437 37290141 87010329 96169311 203024101 261030987 609072303 1827216909