Search a number
-
+
98000928601 = 36728532
BaseRepresentation
bin101101101000101001…
…1110111111101011001
3100100221212000222211021
41123101103313331121
53101201214203401
6113004312002441
710036361102002
oct1332123677531
9310855028737
1098000928601
113861aa73184
1216bb0390421
13931a5cbc64
144a597681a9
1528389ac2a1
hex16d14f7f59

98000928601 has 9 divisors (see below), whose sum is σ = 98384027391. Its totient is φ = 97619319432.

The previous prime is 98000928583. The next prime is 98000928629. The reversal of 98000928601 is 10682900089.

It is a happy number.

The square root of 98000928601 is 313051.

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., 5660305225 + 92340623376 = 75235^2 + 303876^2 .

It is not a de Polignac number, because 98000928601 - 25 = 98000928569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98000928101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 114889291 + ... + 114890143.

It is an arithmetic number, because the mean of its divisors is an integer number (10931558599).

Almost surely, 298000928601 is an apocalyptic number.

98000928601 is the 313051-st square number.

98000928601 is the 156526-th centered octagonal number.

It is an amenable number.

98000928601 is a deficient number, since it is larger than the sum of its proper divisors (383098790).

98000928601 is an frugal number, since it uses more digits than its factorization.

98000928601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The spelling of 98000928601 in words is "ninety-eight billion, nine hundred twenty-eight thousand, six hundred one".

Divisors: 1 367 853 134689 313051 727609 114889717 267032503 98000928601