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16073833330816 = 271735631289303
BaseRepresentation
bin1110100111100111101100…
…1000000011100010000000
32002220122101002012121220121
43221321323020003202000
54101323202313041231
654104114520350024
73246203400664642
oct351717310034200
962818332177817
1016073833330816
115137968964738
121977272315314
138c79a9b6a141
143d7d98aa0892
151cd1b5cdd311
hexe9e7b203880

16073833330816 has 64 divisors (see below), whose sum is σ = 32264420022720. Its totient is φ = 7976261665792.

The previous prime is 16073833330771. The next prime is 16073833330831. The reversal of 16073833330816 is 61803333837061.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11822421 + ... + 13111723.

It is an arithmetic number, because the mean of its divisors is an integer number (504131562855).

Almost surely, 216073833330816 is an apocalyptic number.

16073833330816 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 16073833330816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16132210011360).

16073833330816 is an abundant number, since it is smaller than the sum of its proper divisors (16190586691904).

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

16073833330816 is a wasteful number, since it uses less digits than its factorization.

16073833330816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290053 (or 1290041 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 52.

The spelling of 16073833330816 in words is "sixteen trillion, seventy-three billion, eight hundred thirty-three million, three hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 173 346 563 692 1126 1384 2252 2768 4504 5536 9008 11072 18016 22144 36032 72064 97399 194798 389596 779192 1289303 1558384 2578606 3116768 5157212 6233536 10314424 12467072 20628848 41257696 82515392 165030784 223049419 446098838 725877589 892197676 1451755178 1784395352 2903510356 3568790704 5807020712 7137581408 11614041424 14275162816 23228082848 28550325632 46456165696 92912331392 125576822897 251153645794 502307291588 1004614583176 2009229166352 4018458332704 8036916665408 16073833330816