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162240307712 = 297225432
BaseRepresentation
bin1001011100011001000…
…1101010001000000000
3120111202210202120102122
42113012101222020000
510124232004321322
6202310540503412
714502315601400
oct2270621521000
9514683676378
10162240307712
116289547353a
1227539b4ab68
13123b7441ba2
147bd1284800
1543484bc442
hex25c646a200

162240307712 has 90 divisors (see below), whose sum is σ = 377236775223. Its totient is φ = 69504218112.

The previous prime is 162240307711. The next prime is 162240307717. The reversal of 162240307712 is 217703042261.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 81120153856 + 81120153856 = 284816^2 + 284816^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=284816.

It is not an unprimeable number, because it can be changed into a prime (162240307711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63797513 + ... + 63800055.

Almost surely, 2162240307712 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 162240307712

162240307712 is an abundant number, since it is smaller than the sum of its proper divisors (214996467511).

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

162240307712 is an frugal number, since it uses more digits than its factorization.

162240307712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5118 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

Adding to 162240307712 its reverse (217703042261), we get a palindrome (379943349973).

The spelling of 162240307712 in words is "one hundred sixty-two billion, two hundred forty million, three hundred seven thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1568 1792 2543 3136 3584 5086 6272 10172 12544 17801 20344 25088 35602 40688 71204 81376 124607 142408 162752 249214 284816 325504 498428 569632 651008 996856 1139264 1302016 1993712 2278528 3987424 4557056 6466849 7974848 9114112 12933698 15949696 25867396 31899392 45267943 51734792 63798784 90535886 103469584 181071772 206939168 316875601 362143544 413878336 633751202 724287088 827756672 1267502404 1448574176 1655513344 2535004808 2897148352 3311026688 5070009616 5794296704 10140019232 11588593408 20280038464 23177186816 40560076928 81120153856 162240307712