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8399053164544 = 2127264692
BaseRepresentation
bin111101000111000111010…
…0101001001000000000000
31002201221102110022112210021
41322032032211021000000
52100102230102231134
625510245522143224
71524545236644100
oct172161645110000
932657373275707
108399053164544
112749022604099
12b37961ab1b14
1348c04801ac23
14210732bb3200
15e872a6800b4
hex7a38e949000

8399053164544 has 117 divisors (see below), whose sum is σ = 19541289726297. Its totient is φ = 3599037775872.

The previous prime is 8399053164521. The next prime is 8399053164559. The reversal of 8399053164544 is 4454613509938.

It is a happy number.

The square root of 8399053164544 is 2898112.

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., 433111404544 + 7965941760000 = 658112^2 + 2822400^2 .

It is a Duffinian number.

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, 1298350942 + ... + 1298357410.

Almost surely, 28399053164544 is an apocalyptic number.

8399053164544 is the 2898112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8399053164544

8399053164544 is an abundant number, since it is smaller than the sum of its proper divisors (11142236561753).

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

8399053164544 is an frugal number, since it uses more digits than its factorization.

8399053164544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12976 (or 6478 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 61.

The spelling of 8399053164544 in words is "eight trillion, three hundred ninety-nine billion, fifty-three million, one hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2048 3136 3584 4096 6272 6469 7168 12544 12938 14336 25088 25876 28672 45283 50176 51752 90566 100352 103504 181132 200704 207008 316981 362264 414016 633962 724528 828032 1267924 1449056 1656064 2535848 2898112 3312128 5071696 5796224 6624256 10143392 11592448 13248512 20286784 23184896 26497024 40573568 41847961 46369792 81147136 83695922 92739584 162294272 167391844 185479168 292935727 324588544 334783688 585871454 649177088 669567376 1171742908 1298354176 1339134752 2050550089 2343485816 2678269504 4101100178 4686971632 5356539008 8202200356 9373943264 10713078016 16404400712 18747886528 21426156032 32808801424 37495773056 42852312064 65617602848 74991546112 85704624128 131235205696 149983092224 171409248256 262470411392 299966184448 524940822784 599932368896 1049881645568 1199864737792 2099763291136 4199526582272 8399053164544