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16334152032 = 2531124134297
BaseRepresentation
bin11110011011001011…
…10110000101100000
31120011100120220012210
433031211312011200
5231423020331112
611300453322120
71115530000332
oct171545660540
946140526183
1016334152032
116a22226200
1231ba336340
131704080b23
14b0d4b5452
15658eedb3c
hex3cd976160

16334152032 has 144 divisors (see below), whose sum is σ = 48280334256. Its totient is φ = 4828876800.

The previous prime is 16334152027. The next prime is 16334152091. The reversal of 16334152032 is 23025143361.

16334152032 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 23 ways as a sum of consecutive naturals, for example, 459108 + ... + 493404.

It is an arithmetic number, because the mean of its divisors is an integer number (335280099).

Almost surely, 216334152032 is an apocalyptic number.

16334152032 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 16334152032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24140167128).

16334152032 is an abundant number, since it is smaller than the sum of its proper divisors (31946182224).

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

16334152032 is a wasteful number, since it uses less digits than its factorization.

16334152032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34373 (or 34354 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 16334152032 its reverse (23025143361), we get a palindrome (39359295393).

The spelling of 16334152032 in words is "sixteen billion, three hundred thirty-four million, one hundred fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 66 82 88 96 121 123 132 164 176 242 246 264 328 352 363 451 484 492 528 656 726 902 968 984 1056 1312 1353 1452 1804 1936 1968 2706 2904 3608 3872 3936 4961 5412 5808 7216 9922 10824 11616 14432 14883 19844 21648 29766 34297 39688 43296 59532 68594 79376 102891 119064 137188 158752 205782 238128 274376 377267 411564 476256 548752 754534 823128 1097504 1131801 1406177 1509068 1646256 2263602 2812354 3018136 3292512 4149937 4218531 4527204 5624708 6036272 8299874 8437062 9054408 11249416 12072544 12449811 15467947 16599748 16874124 18108816 22498832 24899622 30935894 33199496 33748248 36217632 44997664 46403841 49799244 61871788 66398992 67496496 92807682 99598488 123743576 132797984 134992992 170147417 185615364 199196976 247487152 340294834 371230728 398393952 494974304 510442251 680589668 742461456 1020884502 1361179336 1484922912 2041769004 2722358672 4083538008 5444717344 8167076016 16334152032