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1468397931 = 37111371297
BaseRepresentation
bin101011110000101…
…1111100101101011
310210100001100021120
41113201133211223
511001402213211
6401412510323
751250114350
oct12741374553
93710040246
101468397931
11693966110
1234b91b3a3
131a52a9020
14dd038627
1588da5d06
hex5785f96b

1468397931 has 96 divisors (see below), whose sum is σ = 2693773824. Its totient is φ = 687052800.

The previous prime is 1468397911. The next prime is 1468397939. The reversal of 1468397931 is 1397938641.

It is not a de Polignac number, because 1468397931 - 211 = 1468395883 is a prime.

It is a super-2 number, since 2×14683979312 = 4312384967530161522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1468397939) 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 95 ways as a sum of consecutive naturals, for example, 15138075 + ... + 15138171.

It is an arithmetic number, because the mean of its divisors is an integer number (28060144).

Almost surely, 21468397931 is an apocalyptic number.

1468397931 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1468397931 is a deficient number, since it is larger than the sum of its proper divisors (1225375893).

1468397931 is a wasteful number, since it uses less digits than its factorization.

1468397931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 202 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The square root of 1468397931 is about 38319.6807267493. The cubic root of 1468397931 is about 1136.6181531550.

The spelling of 1468397931 in words is "one billion, four hundred sixty-eight million, three hundred ninety-seven thousand, nine hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 39 71 77 91 97 143 213 231 273 291 429 497 679 781 923 1001 1067 1261 1491 2037 2343 2769 3003 3201 3783 5041 5467 6461 6887 7469 8827 10153 13871 15123 16401 19383 20661 22407 26481 30459 35287 41613 48209 55451 65533 71071 75757 89531 97097 105861 144627 166353 196599 213213 227271 268593 291291 388157 458731 488977 530299 626717 720863 984841 1164471 1376193 1466931 1590897 1880151 2162589 2954523 3422839 5046041 5378747 6356701 6893887 10268517 15138123 16136241 19070103 20681661 37651229 44496907 69923711 112953687 133490721 209771133 489465977 1468397931