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1368195309 = 3213175989131
BaseRepresentation
bin101000110001101…
…0000000011101101
310112100111112010100
41101203100003231
510300224222214
6343433101313
745622316415
oct12143200355
93470445110
101368195309
11642346428
12322257839
1318a5c4230
14cd9d3645
15801b1309
hex518d00ed

1368195309 has 96 divisors (see below), whose sum is σ = 2335132800. Its totient is φ = 764375040.

The previous prime is 1368195223. The next prime is 1368195337. The reversal of 1368195309 is 9035918631.

1368195309 is a `hidden beast` number, since 1 + 36 + 81 + 9 + 530 + 9 = 666.

It is not a de Polignac number, because 1368195309 - 211 = 1368193261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1368195809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10444174 + ... + 10444304.

It is an arithmetic number, because the mean of its divisors is an integer number (24324300).

Almost surely, 21368195309 is an apocalyptic number.

It is an amenable number.

1368195309 is a deficient number, since it is larger than the sum of its proper divisors (966937491).

1368195309 is a wasteful number, since it uses less digits than its factorization.

1368195309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 1368195309 is about 36989.1241988777. The cubic root of 1368195309 is about 1110.1526476214.

The spelling of 1368195309 in words is "one billion, three hundred sixty-eight million, one hundred ninety-five thousand, three hundred nine".

Divisors: 1 3 9 13 17 39 51 59 89 117 131 153 177 221 267 393 531 663 767 801 1003 1157 1179 1513 1703 1989 2227 2301 3009 3471 4539 5109 5251 6681 6903 7729 9027 10413 11659 13039 13617 15327 15753 19669 20043 23187 28951 34977 39117 47259 59007 68263 69561 86853 89267 100477 104931 117351 131393 151567 177021 198203 204789 260559 267801 301431 394179 454701 594609 614367 687881 803403 904293 1160471 1182537 1364103 1708109 1783827 2063643 2576639 3481413 5124327 6190929 7729917 8942453 10444239 11693977 15372981 23189751 26827359 35081931 80482077 105245793 152021701 456065103 1368195309