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16481145984 = 273192118891
BaseRepresentation
bin11110101100101101…
…00101010010000000
31120112121011222000020
433112112211102000
5232223133132414
611323224053440
71122263300202
oct172626452200
946477158006
1016481145984
116a981a4a06
12323b604280
1317286696b4
14b24c1a772
15666d877a9
hex3d65a5480

16481145984 has 96 divisors (see below), whose sum is σ = 46203809040. Its totient is φ = 5204528640.

The previous prime is 16481145977. The next prime is 16481146091. The reversal of 16481145984 is 48954118461.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79179 + ... + 198069.

Almost surely, 216481145984 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 16481145984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23101904520).

16481145984 is an abundant number, since it is smaller than the sum of its proper divisors (29722663056).

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

16481145984 is a wasteful number, since it uses less digits than its factorization.

16481145984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118946 (or 118915 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 51.

The spelling of 16481145984 in words is "sixteen billion, four hundred eighty-one million, one hundred forty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 361 384 456 608 722 912 1083 1216 1444 1824 2166 2432 2888 3648 4332 5776 7296 8664 11552 17328 23104 34656 46208 69312 118891 138624 237782 356673 475564 713346 951128 1426692 1902256 2258929 2853384 3804512 4517858 5706768 6776787 7609024 9035716 11413536 13553574 15218048 18071432 22827072 27107148 36142864 42919651 45654144 54214296 72285728 85839302 108428592 128758953 144571456 171678604 216857184 257517906 289142912 343357208 433714368 515035812 686714416 867428736 1030071624 1373428832 2060143248 2746857664 4120286496 5493715328 8240572992 16481145984