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2092788009 = 34132172232
BaseRepresentation
bin111110010111101…
…0110100100101001
312101211221122110000
41330233112210221
513241223204014
6543355413213
7102601255524
oct17457264451
95354848400
102092788009
11984362674
124a4a54209
13274764300
1415bd2dbbb
15c3ae0509
hex7cbd6929

2092788009 has 135 divisors (see below), whose sum is σ = 3759239253. Its totient is φ = 1159411968.

The previous prime is 2092788007. The next prime is 2092788013. The reversal of 2092788009 is 9008872902.

The square root of 2092788009 is 45747.

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

It can be written as a sum of positive squares in 4 ways, for example, as 18896409 + 2073891600 = 4347^2 + 45540^2 .

It is not a de Polignac number, because 2092788009 - 21 = 2092788007 is a prime.

It is a super-2 number, since 2×20927880092 = 8759523301228368162, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2092788007) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 90990772 + ... + 90990794.

Almost surely, 22092788009 is an apocalyptic number.

2092788009 is the 45747-th square number.

2092788009 is the 22874-th centered octagonal number.

It is an amenable number.

2092788009 is a deficient number, since it is larger than the sum of its proper divisors (1666451244).

2092788009 is a wasteful number, since it uses less digits than its factorization.

2092788009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The cubic root of 2092788009 is about 1279.1115271946. Note that the first 3 decimals are identical.

The spelling of 2092788009 in words is "two billion, ninety-two million, seven hundred eighty-eight thousand, nine".

Divisors: 1 3 9 13 17 23 27 39 51 69 81 117 153 169 207 221 289 299 351 391 459 507 529 621 663 867 897 1053 1173 1377 1521 1587 1863 1989 2601 2691 2873 3519 3757 3887 4563 4761 5083 5967 6647 6877 7803 8073 8619 8993 10557 11271 11661 13689 14283 15249 17901 19941 20631 23409 24219 25857 26979 31671 33813 34983 42849 45747 48841 59823 61893 66079 77571 80937 86411 89401 101439 104949 116909 137241 146523 152881 179469 185679 198237 232713 242811 259233 268203 304317 314847 350727 411723 439569 458643 538407 557037 594711 728433 777699 804609 1052181 1123343 1318707 1375929 1519817 1784133 1987453 2333097 2413827 3156543 3370029 3956121 4127787 4559451 5352399 5962359 6999291 7241481 9469629 10110087 12383361 13678353 17887077 25836889 30330261 41035059 53661231 77510667 90990783 123105177 160983693 232532001 697596003 2092788009