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20936064249 = 362322332
BaseRepresentation
bin10011011111111000…
…101111110011111001
32000001001220021000000
4103133320233303321
5320334113023444
613341244303213
71340546416122
oct233770576371
960031807000
1020936064249
118973953a41
124083541b09
131c885ba5c9
14102874d049
1582801d469
hex4dfe2fcf9

20936064249 has 63 divisors (see below), whose sum is σ = 32955282367. Its totient is φ = 13293235296.

The previous prime is 20936064197. The next prime is 20936064263. The reversal of 20936064249 is 94246063902.

The square root of 20936064249 is 144693.

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

20936064249 is a `hidden beast` number, since 209 + 360 + 6 + 42 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4251692025 + 16684372224 = 65205^2 + 129168^2 .

It is not a de Polignac number, because 20936064249 - 227 = 20801846521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20936064049) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 89854237 + ... + 89854469.

Almost surely, 220936064249 is an apocalyptic number.

20936064249 is the 144693-rd square number.

20936064249 is the 72347-th centered octagonal number.

It is an amenable number.

20936064249 is a deficient number, since it is larger than the sum of its proper divisors (12019218118).

20936064249 is an frugal number, since it uses more digits than its factorization.

20936064249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 20936064249 in words is "twenty billion, nine hundred thirty-six million, sixty-four thousand, two hundred forty-nine".

Divisors: 1 3 9 23 27 69 81 207 233 243 529 621 699 729 1587 1863 2097 4761 5359 5589 6291 14283 16077 16767 18873 42849 48231 54289 56619 123257 128547 144693 162867 169857 369771 385641 434079 488601 1109313 1248647 1302237 1465803 3327939 3745941 3906711 4397409 9983817 11237823 13192227 28718881 29951451 33713469 39576681 86156643 89854353 101140407 258469929 303421221 775409787 910263663 2326229361 6978688083 20936064249