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6104338724416 = 2647265712
BaseRepresentation
bin101100011010100011011…
…1100001111011001000000
3210121120100212020221010211
41120311012330033121000
51300003141203140131
620552143340003504
71200011130016042
oct130650674173100
923546325227124
106104338724416
111a43921085409
1282708a830594
133538379c9a9a
14171647177a92
15a8bc40555b1
hex58d46f0f640

6104338724416 has 63 divisors (see below), whose sum is σ = 12378394285707. Its totient is φ = 2986774980480.

The previous prime is 6104338724401. The next prime is 6104338724489. The reversal of 6104338724416 is 6144278334016.

The square root of 6104338724416 is 2470696.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6104338724416.

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, 928978411 + ... + 928984981.

Almost surely, 26104338724416 is an apocalyptic number.

6104338724416 is the 2470696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6104338724416

6104338724416 is an abundant number, since it is smaller than the sum of its proper divisors (6274055561291).

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

6104338724416 is an frugal number, since it uses more digits than its factorization.

6104338724416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13248 (or 6620 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 49.

Multiplying 6104338724416 by its sum of digits (49), we get a square (299112597496384 = 172948722).

The spelling of 6104338724416 in words is "six trillion, one hundred four billion, three hundred thirty-eight million, seven hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 1504 2209 3008 4418 6571 8836 13142 17672 26284 35344 52568 70688 105136 141376 210272 308837 420544 617674 1235348 2470696 4941392 9882784 14515339 19765568 29030678 43178041 58061356 86356082 116122712 172712164 232245424 345424328 464490848 690848656 928981696 1381697312 2029367927 2763394624 4058735854 8117471708 16234943416 32469886832 64939773664 95380292569 129879547328 190760585138 381521170276 763042340552 1526084681104 3052169362208 6104338724416