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98226416450 = 25212723492
BaseRepresentation
bin101101101111011000…
…0000010101101000010
3100101112120022222000002
41123132300002231002
53102131430311300
6113042525000002
710045066522661
oct1333660025502
9311476288002
1098226416450
1138726284578
12170539b3002
13935523b516
144a7b6a2dd8
15284d69d5d5
hex16dec02b42

98226416450 has 54 divisors (see below), whose sum is σ = 184680219051. Its totient is φ = 38869498080.

The previous prime is 98226416443. The next prime is 98226416479. The reversal of 98226416450 is 5461462289.

It can be written as a sum of positive squares in 5 ways, for example, as 59025188401 + 39201228049 = 242951^2 + 197993^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=221615.

It is a super-3 number, since 3×982264164503 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 98226416395 and 98226416404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 281450876 + ... + 281451224.

Almost surely, 298226416450 is an apocalyptic number.

98226416450 is a deficient number, since it is larger than the sum of its proper divisors (86453802601).

98226416450 is an equidigital number, since it uses as much as digits as its factorization.

98226416450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 98226416450 in words is "ninety-eight billion, two hundred twenty-six million, four hundred sixteen thousand, four hundred fifty".

Divisors: 1 2 5 10 25 50 127 254 349 635 698 1270 1745 3175 3490 6350 8725 16129 17450 32258 44323 80645 88646 121801 161290 221615 243602 403225 443230 609005 806450 1108075 1218010 2216150 3045025 5629021 6090050 11258042 15468727 28145105 30937454 56290210 77343635 140725525 154687270 281451050 386718175 773436350 1964528329 3929056658 9822641645 19645283290 49113208225 98226416450