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1306922244849 = 3613232572
BaseRepresentation
bin10011000001001010101…
…000101101101011110001
311121221101122202221000000
4103001022220231223301
5132403034043313344
62440220343220213
7163264515534264
oct23011250555361
94557348687000
101306922244849
11464298599201
12191359747669
139631c277a00
1447380a64cdb
1523ee19d0a69
hex1304aa2daf1

1306922244849 has 63 divisors (see below), whose sum is σ = 2122463014833. Its totient is φ = 804012910272.

The previous prime is 1306922244847. The next prime is 1306922244949. The reversal of 1306922244849 is 9484422296031.

The square root of 1306922244849 is 1143207.

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

1306922244849 is a `hidden beast` number, since 1 + 306 + 92 + 2 + 244 + 8 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61732449 + 1306860512400 = 7857^2 + 1143180^2 .

It is not a de Polignac number, because 1306922244849 - 21 = 1306922244847 is a prime.

It is a super-2 number, since 2×13069222448492 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1306922244795 and 1306922244804.

It is not an unprimeable number, because it can be changed into a prime (1306922244847) 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 62 ways as a sum of consecutive naturals, for example, 401264029 + ... + 401267285.

Almost surely, 21306922244849 is an apocalyptic number.

1306922244849 is the 1143207-th square number.

1306922244849 is the 571604-th centered octagonal number.

It is an amenable number.

1306922244849 is a deficient number, since it is larger than the sum of its proper divisors (815540769984).

1306922244849 is an frugal number, since it uses more digits than its factorization.

1306922244849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6558 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 1306922244849 in words is "one trillion, three hundred six billion, nine hundred twenty-two million, two hundred forty-four thousand, eight hundred forty-nine".

Divisors: 1 3 9 13 27 39 81 117 169 243 351 507 729 1053 1521 3159 3257 4563 9477 9771 13689 29313 41067 42341 87939 123201 127023 263817 381069 550433 791451 1143207 1651299 2374353 3429621 4953897 10288863 10608049 14861691 30866589 31824147 44585073 95472441 133755219 137904637 286417323 401265657 413713911 859251969 1241141733 1792760281 2577755907 3723425199 5378280843 7733267721 11170275597 16134842529 33510826791 48404527587 100532480373 145213582761 435640748283 1306922244849