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16428425616 = 24331072931213
BaseRepresentation
bin11110100110011010…
…11110000110010000
31120101220222111021000
433103031132012100
5232121134104431
611314102102000
71121053212411
oct172315360620
946356874230
1016428425616
116a70466359
123225a1a900
13171a76b005
14b1bc15808
156624219e6
hex3d335e190

16428425616 has 160 divisors (see below), whose sum is σ = 47798190720. Its totient is φ = 5401990656.

The previous prime is 16428425597. The next prime is 16428425623. The reversal of 16428425616 is 61652482461.

It is a happy number.

16428425616 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 8 + 4 + 25 + 616 = 666.

16428425616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 13543026 + ... + 13544238.

It is an arithmetic number, because the mean of its divisors is an integer number (298738692).

Almost surely, 216428425616 is an apocalyptic number.

16428425616 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 16428425616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23899095360).

16428425616 is an abundant number, since it is smaller than the sum of its proper divisors (31369765104).

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

16428425616 is a wasteful number, since it uses less digits than its factorization.

16428425616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1618 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 16428425616 in words is "sixteen billion, four hundred twenty-eight million, four hundred twenty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 293 321 428 432 586 642 856 879 963 1172 1213 1284 1712 1758 1926 2344 2426 2568 2637 2889 3516 3639 3852 4688 4852 5136 5274 5778 7032 7278 7704 7911 9704 10548 10917 11556 14064 14556 15408 15822 19408 21096 21834 23112 29112 31351 31644 32751 42192 43668 46224 58224 62702 63288 65502 87336 94053 125404 126576 129791 131004 174672 188106 250808 259582 262008 282159 355409 376212 389373 501616 519164 524016 564318 710818 752424 778746 846477 1038328 1066227 1128636 1168119 1421636 1504848 1557492 1692954 2076656 2132454 2257272 2336238 2843272 3114984 3198681 3385908 3504357 4264908 4514544 4672476 5686544 6229968 6397362 6771816 7008714 8529816 9344952 9596043 12794724 13543632 14017428 17059632 18689904 19192086 25589448 28034856 38028763 38384172 51178896 56069712 76057526 76768344 114086289 152115052 153536688 228172578 304230104 342258867 456345156 608460208 684517734 912690312 1026776601 1369035468 1825380624 2053553202 2738070936 4107106404 5476141872 8214212808 16428425616