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204601030262144 = 2741101033858901
BaseRepresentation
bin101110100001010101100011…
…101110101011110110000000
3222211102200000120210112221222
4232201111203232223312000
5203304140402221342034
62003052225443534212
761044636156256445
oct5641254356536600
9884380016715858
10204601030262144
115a21289a71072a
121ab4507308a368
138a21a432b9389
143874a57d919cc
15189c22057512e
hexba1563babd80

204601030262144 has 64 divisors (see below), whose sum is σ = 417586603603680. Its totient is φ = 99795475968000.

The previous prime is 204601030262099. The next prime is 204601030262171. The reversal of 204601030262144 is 441262030106402.

204601030262144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51091094 + ... + 54949994.

Almost surely, 2204601030262144 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 204601030262144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208793301801840).

204601030262144 is an abundant number, since it is smaller than the sum of its proper divisors (212985573341536).

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

204601030262144 is a wasteful number, since it uses less digits than its factorization.

204601030262144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3869059 (or 3869047 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 204601030262144 its reverse (441262030106402), we get a palindrome (645863060368546).

The spelling of 204601030262144 in words is "two hundred four trillion, six hundred one billion, thirty million, two hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 5248 10103 20206 40412 80824 161648 323296 414223 646592 828446 1293184 1656892 3313784 3858901 6627568 7717802 13255136 15435604 26510272 30871208 53020544 61742416 123484832 158214941 246969664 316429882 493939328 632859764 1265719528 2531439056 5062878112 10125756224 20251512448 38986476803 77972953606 155945907212 311891814424 623783628848 1247567257696 1598445548923 2495134515392 3196891097846 4990269030784 6393782195692 12787564391384 25575128782768 51150257565536 102300515131072 204601030262144