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16405555664 = 2429411515711
BaseRepresentation
bin11110100011101100…
…01110100111010000
31120100022221120120202
433101312032213100
5232044310240124
611311523554332
71120354631231
oct172166164720
946308846522
1016405555664
116a59565873
12321a22b9a8
131715ac14b4
14b18b81088
156604055ae
hex3d1d8e9d0

16405555664 has 80 divisors (see below), whose sum is σ = 33912829440. Its totient is φ = 7674240000.

The previous prime is 16405555657. The next prime is 16405555687. The reversal of 16405555664 is 46655550461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2869769 + ... + 2875479.

It is an arithmetic number, because the mean of its divisors is an integer number (423910368).

Almost surely, 216405555664 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 16405555664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16956414720).

16405555664 is an abundant number, since it is smaller than the sum of its proper divisors (17507273776).

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

16405555664 is a wasteful number, since it uses less digits than its factorization.

16405555664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5940 (or 5934 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 47.

The spelling of 16405555664 in words is "sixteen billion, four hundred five million, five hundred fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 29 41 58 82 116 151 164 232 302 328 464 604 656 1189 1208 2378 2416 4379 4756 5711 6191 8758 9512 11422 12382 17516 19024 22844 24764 35032 45688 49528 70064 91376 99056 165619 179539 234151 331238 359078 468302 662476 718156 862361 936604 1324952 1436312 1724722 1873208 2649904 2872624 3449444 3746416 6790379 6898888 13580758 13797776 25008469 27161516 35356801 50016938 54323032 70713602 100033876 108646064 141427204 200067752 282854408 400135504 565708816 1025347229 2050694458 4101388916 8202777832 16405555664