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12274314096 = 24311315314149
BaseRepresentation
bin10110110111001101…
…10010101101110000
31011200102021202112210
423123212302231300
5200114211022341
65345545052120
7613111643202
oct133346625560
934612252483
1012274314096
115229591940
122466787040
131207c3b165
14846226772
154bc8a8c16
hex2db9b2b70

12274314096 has 160 divisors (see below), whose sum is σ = 36383385600. Its totient is φ = 3531340800.

The previous prime is 12274314083. The next prime is 12274314131. The reversal of 12274314096 is 69041347221.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 860430 + ... + 874578.

It is an arithmetic number, because the mean of its divisors is an integer number (227396160).

Almost surely, 212274314096 is an apocalyptic number.

12274314096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12274314096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18191692800).

12274314096 is an abundant number, since it is smaller than the sum of its proper divisors (24109071504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12274314096 is a wasteful number, since it uses less digits than its factorization.

12274314096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14255 (or 14249 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 12274314096 in words is "twelve billion, two hundred seventy-four million, three hundred fourteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 53 62 66 88 93 106 124 132 159 176 186 212 248 264 318 341 372 424 496 528 583 636 682 744 848 1023 1166 1272 1364 1488 1643 1749 2046 2332 2544 2728 3286 3498 4092 4664 4929 5456 6572 6996 8184 9328 9858 13144 13992 14149 16368 18073 19716 26288 27984 28298 36146 39432 42447 54219 56596 72292 78864 84894 108438 113192 144584 155639 169788 216876 226384 289168 311278 339576 433752 438619 466917 622556 679152 749897 867504 877238 933834 1245112 1315857 1499794 1754476 1867668 2249691 2490224 2631714 2999588 3508952 3735336 4499382 4824809 5263428 5999176 7017904 7470672 8248867 8998764 9649618 10526856 11998352 14474427 16497734 17997528 19299236 21053712 23246807 24746601 28948854 32995468 35995056 38598472 46493614 49493202 57897708 65990936 69740421 77196944 92987228 98986404 115795416 131981872 139480842 185974456 197972808 231590832 255714877 278961684 371948912 395945616 511429754 557923368 767144631 1022859508 1115846736 1534289262 2045719016 3068578524 4091438032 6137157048 12274314096