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16468450080 = 253535995569
BaseRepresentation
bin11110101011001100…
…01001101100100000
31120111201021221111120
433111212021230200
5232211410400310
611322052012240
71122050341665
oct172546115440
946451257446
1016468450080
116a91013325
123237301080
131725b42a24
14b23273a6c
15665bcab70
hex3d5989b20

16468450080 has 96 divisors (see below), whose sum is σ = 52020662400. Its totient is φ = 4379308032.

The previous prime is 16468450079. The next prime is 16468450153. The reversal of 16468450080 is 8005486461.

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 15 ways as a sum of consecutive naturals, for example, 124536 + ... + 220104.

It is an arithmetic number, because the mean of its divisors is an integer number (541881900).

Almost surely, 216468450080 is an apocalyptic number.

16468450080 is a gapful number since it is divisible by the number (10) 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 16468450080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26010331200).

16468450080 is an abundant number, since it is smaller than the sum of its proper divisors (35552212320).

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

16468450080 is a wasteful number, since it uses less digits than its factorization.

16468450080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95946 (or 95938 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 16468450080 in words is "sixteen billion, four hundred sixty-eight million, four hundred fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 359 480 718 1077 1436 1795 2154 2872 3590 4308 5385 5744 7180 8616 10770 11488 14360 17232 21540 28720 34464 43080 57440 86160 95569 172320 191138 286707 382276 477845 573414 764552 955690 1146828 1433535 1529104 1911380 2293656 2867070 3058208 3822760 4587312 5734140 7645520 9174624 11468280 15291040 22936560 34309271 45873120 68618542 102927813 137237084 171546355 205855626 274474168 343092710 411711252 514639065 548948336 686185420 823422504 1029278130 1097896672 1372370840 1646845008 2058556260 2744741680 3293690016 4117112520 5489483360 8234225040 16468450080