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2137490289 = 341124672
BaseRepresentation
bin111111101100111…
…1000001101110001
312111222001202110000
41333121320031301
513334144142124
6552033500213
7103653240054
oct17731701561
95458052400
102137490289
119a7615100
124b7a11669
13280ab626c
14163c48a9b
15c79c06c9
hex7f678371

2137490289 has 45 divisors (see below), whose sum is σ = 3517237801. Its totient is φ = 1292674680.

The previous prime is 2137490221. The next prime is 2137490309. The reversal of 2137490289 is 9820947312.

The square root of 2137490289 is 46233.

It is a perfect power (a square), and thus also a powerful number.

2137490289 is a `hidden beast` number, since 2 + 137 + 490 + 28 + 9 = 666.

It is not a de Polignac number, because 2137490289 - 27 = 2137490161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2137490209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4576834 + ... + 4577300.

Almost surely, 22137490289 is an apocalyptic number.

2137490289 is the 46233-rd square number.

2137490289 is the 23117-th centered octagonal number.

It is an amenable number.

2137490289 is a deficient number, since it is larger than the sum of its proper divisors (1379747512).

2137490289 is an frugal number, since it uses more digits than its factorization.

2137490289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The cubic root of 2137490289 is about 1288.1547820832.

The spelling of 2137490289 in words is "two billion, one hundred thirty-seven million, four hundred ninety thousand, two hundred eighty-nine".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 467 891 1089 1401 3267 4203 5137 9801 12609 15411 37827 46233 56507 138699 169521 218089 416097 508563 654267 1525689 1962801 2398979 4577067 5888403 7196937 17665209 21590811 26388769 64772433 79166307 194317299 237498921 712496763 2137490289