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16478343424 = 287121132
BaseRepresentation
bin11110101100010111…
…11001000100000000
31120112101220120121201
433112023321010000
5232221423442144
611323044030544
71122230415364
oct172613710400
946471816551
1016478343424
116a96660344
12323a692454
131727bc7b8a
14b246cb2a4
156669d21d4
hex3d62f9100

16478343424 has 81 divisors (see below), whose sum is σ = 33659968069. Its totient is φ = 8051240960.

The previous prime is 16478343407. The next prime is 16478343433. The reversal of 16478343424 is 42434387461.

It is a happy number.

The square root of 16478343424 is 128368.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 290361600 + 16187981824 = 17040^2 + 127232^2 .

It is a Duffinian number.

Its product of digits (1548288) is a multiple of the sum of its prime factors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 145825992 + ... + 145826104.

Almost surely, 216478343424 is an apocalyptic number.

16478343424 is the 128368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16478343424

16478343424 is an abundant number, since it is smaller than the sum of its proper divisors (17181624645).

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

16478343424 is an frugal number, since it uses more digits than its factorization.

16478343424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 186 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 46.

The spelling of 16478343424 in words is "sixteen billion, four hundred seventy-eight million, three hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 71 113 128 142 226 256 284 452 568 904 1136 1808 2272 3616 4544 5041 7232 8023 9088 10082 12769 14464 16046 18176 20164 25538 28928 32092 40328 51076 64184 80656 102152 128368 161312 204304 256736 322624 408608 513472 569633 645248 817216 906599 1026944 1139266 1290496 1634432 1813198 2053888 2278532 3268864 3626396 4557064 7252792 9114128 14505584 18228256 29011168 36456512 58022336 64368529 72913024 116044672 128737058 145826048 232089344 257474116 514948232 1029896464 2059792928 4119585856 8239171712 16478343424