Search a number
-
+
98951139225 = 32526723132
BaseRepresentation
bin101110000100111110…
…0101000111110011001
3100110102002000200202100
41130021330220332121
53110122442423400
6113242454154013
710102046543241
oct1341174507631
9313362020670
1098951139225
1138a6837a514
1217216652909
13943c425873
144b09a34b21
152892106100
hex1709f28f99

98951139225 has 81 divisors (see below), whose sum is σ = 180493879293. Its totient is φ = 51820179840.

The previous prime is 98951139173. The next prime is 98951139239. The reversal of 98951139225 is 52293115989.

It is a happy number.

The square root of 98951139225 is 314565.

It is a perfect power (a square), and thus also a powerful number.

98951139225 is a `hidden beast` number, since 98 + 9 + 511 + 39 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55588907529 + 43362231696 = 235773^2 + 208236^2 .

It is not a de Polignac number, because 98951139225 - 219 = 98950614937 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 316137669 + ... + 316137981.

Almost surely, 298951139225 is an apocalyptic number.

98951139225 is the 314565-th square number.

98951139225 is the 157283-rd centered octagonal number.

It is an amenable number.

98951139225 is a deficient number, since it is larger than the sum of its proper divisors (81542740068).

98951139225 is an equidigital number, since it uses as much as digits as its factorization.

98951139225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 388 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 54.

The spelling of 98951139225 in words is "ninety-eight billion, nine hundred fifty-one million, one hundred thirty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 67 75 201 225 313 335 603 939 1005 1565 1675 2817 3015 4489 4695 5025 7825 13467 14085 15075 20971 22445 23475 40401 62913 67335 70425 97969 104855 112225 188739 202005 293907 314565 336675 489845 524275 881721 943695 1010025 1405057 1469535 1572825 2449225 4215171 4408605 4718475 6563923 7025285 7347675 12645513 19691769 21075855 22043025 32819615 35126425 59075307 63227565 98458845 105379275 164098075 295376535 316137825 439782841 492294225 1319348523 1476882675 2198914205 3958045569 6596742615 10994571025 19790227845 32983713075 98951139225