Search a number
-
+
16274516412 = 223721112911949
BaseRepresentation
bin11110010100000100…
…10110100110111100
31120000012101002112010
433022002112212330
5231312234011122
611250523211220
71114204051500
oct171202264674
946005332463
1016274516412
1169a15a4070
1231a2376b10
1316c490098b
14b055d0300
15653b6de0c
hex3ca0969bc

16274516412 has 144 divisors (see below), whose sum is σ = 48251548800. Its totient is φ = 4221705600.

The previous prime is 16274516371. The next prime is 16274516437. The reversal of 16274516412 is 21461547261.

16274516412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8349214 + ... + 8351162.

It is an arithmetic number, because the mean of its divisors is an integer number (335080200).

Almost surely, 216274516412 is an apocalyptic number.

16274516412 is a gapful number since it is divisible by the number (12) 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 16274516412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24125774400).

16274516412 is an abundant number, since it is smaller than the sum of its proper divisors (31977032388).

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

16274516412 is a wasteful number, since it uses less digits than its factorization.

16274516412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3263 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The spelling of 16274516412 in words is "sixteen billion, two hundred seventy-four million, five hundred sixteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1291 1617 1949 2156 2582 3234 3873 3898 5164 5847 6468 7746 7796 9037 11694 13643 14201 15492 18074 21439 23388 27111 27286 28402 36148 40929 42603 42878 54222 54572 56804 63259 64317 81858 85206 85756 95501 99407 108444 126518 128634 150073 163716 170412 189777 191002 198814 253036 257268 286503 298221 300146 379554 382004 397628 450219 573006 596442 600292 695849 759108 900438 1050511 1146012 1192884 1391698 1800876 2087547 2101022 2516159 2783396 3151533 4175094 4202044 5032318 6303066 7548477 8350188 10064636 12606132 15096954 17613113 27677749 30193908 35226226 52839339 55355498 70452452 83033247 105678678 110710996 123291791 166066494 193744243 211357356 246583582 332132988 369875373 387488486 493167164 581232729 739750746 774976972 1162465458 1356209701 1479501492 2324930916 2712419402 4068629103 5424838804 8137258206 16274516412