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2091248127 = 3231471011579
BaseRepresentation
bin111110010100101…
…1110100111111111
312101202001102010100
41330221132213333
513240324420002
6543302412143
7102552213213
oct17451364777
95352042110
102091248127
11983500741
124a4431053
13274345437
1415ba4c943
15c38d911c
hex7ca5e9ff

2091248127 has 48 divisors (see below), whose sum is σ = 3218042880. Its totient is φ = 1306584000.

The previous prime is 2091248119. The next prime is 2091248141. The reversal of 2091248127 is 7218421902.

It is not a de Polignac number, because 2091248127 - 23 = 2091248119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2091248091 and 2091248100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2091248147) 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, 1323624 + ... + 1325202.

It is an arithmetic number, because the mean of its divisors is an integer number (67042560).

Almost surely, 22091248127 is an apocalyptic number.

2091248127 is a deficient number, since it is larger than the sum of its proper divisors (1126794753).

2091248127 is a wasteful number, since it uses less digits than its factorization.

2091248127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2091248127 is about 45730.1664877792. The cubic root of 2091248127 is about 1278.7977250472.

The spelling of 2091248127 in words is "two billion, ninety-one million, two hundred forty-eight thousand, one hundred twenty-seven".

Divisors: 1 3 9 31 47 93 101 141 279 303 423 909 1457 1579 3131 4371 4737 4747 9393 13113 14211 14241 28179 42723 48949 74213 146847 147157 159479 222639 440541 441471 478437 667917 1324413 1435311 2300603 4943849 6901809 7495513 14831547 20705427 22486539 44494641 67459617 232360903 697082709 2091248127