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16412261304 = 2333161834357
BaseRepresentation
bin11110100100011111…
…10011101110111000
31120100210120020222210
433102033303232320
5232103014330204
611312323415120
71120465630215
oct172217635670
946323506883
1016412261304
116a6232591a
1232205244a0
1317172cb72a
14b19a08b0c
15660ccc389
hex3d23f3bb8

16412261304 has 128 divisors (see below), whose sum is σ = 43577210880. Its totient is φ = 5143564800.

The previous prime is 16412261293. The next prime is 16412261309. The reversal of 16412261304 is 40316221461.

It is a super-2 number, since 2×164122613042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16412261309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3764694 + ... + 3769050.

It is an arithmetic number, because the mean of its divisors is an integer number (340446960).

Almost surely, 216412261304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16412261304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21788605440).

16412261304 is an abundant number, since it is smaller than the sum of its proper divisors (27164949576).

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

16412261304 is a wasteful number, since it uses less digits than its factorization.

16412261304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4541 (or 4537 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 16412261304 its reverse (40316221461), we get a palindrome (56728482765).

The spelling of 16412261304 in words is "sixteen billion, four hundred twelve million, two hundred sixty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 31 61 62 83 93 122 124 166 183 186 244 248 249 332 366 372 488 498 664 732 744 996 1464 1891 1992 2573 3782 4357 5063 5146 5673 7564 7719 8714 10126 10292 11346 13071 15128 15189 15438 17428 20252 20584 22692 26142 30378 30876 34856 40504 45384 52284 60756 61752 104568 121512 135067 156953 265777 270134 313906 361631 405201 470859 531554 540268 627812 723262 797331 810402 941718 1063108 1080536 1084893 1255624 1446524 1594662 1620804 1883436 2126216 2169786 2893048 3189324 3241608 3766872 4339572 6378648 8239087 8679144 11210561 16478174 22059491 22421122 24717261 32956348 33631683 44118982 44842244 49434522 65912696 66178473 67263366 88237964 89684488 98869044 132356946 134526732 176475928 197738088 264713892 269053464 529427784 683844221 1367688442 2051532663 2735376884 4103065326 5470753768 8206130652 16412261304