Search a number
-
+
97681115625 = 35589117071
BaseRepresentation
bin101101011111000111…
…1111000100111101001
3100100010120020210220020
41122332033320213221
53100022331200000
6112512445151053
710025425532442
oct1327617704751
9310116223806
1097681115625
1138476496a35
1216b2125b489
139299284c02
144a290b82c9
15281a887ba0
hex16be3f89e9

97681115625 has 48 divisors (see below), whose sum is σ = 164621963520. Its totient is φ = 51510800000.

The previous prime is 97681115617. The next prime is 97681115629. The reversal of 97681115625 is 52651118679.

It is not a de Polignac number, because 97681115625 - 23 = 97681115617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (97681115629) 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 47 ways as a sum of consecutive naturals, for example, 775840 + ... + 892910.

It is an arithmetic number, because the mean of its divisors is an integer number (3429624240).

Almost surely, 297681115625 is an apocalyptic number.

It is an amenable number.

97681115625 is a deficient number, since it is larger than the sum of its proper divisors (66940847895).

97681115625 is an equidigital number, since it uses as much as digits as its factorization.

97681115625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117188 (or 117168 counting only the distinct ones).

The product of its digits is 907200, while the sum is 51.

The spelling of 97681115625 in words is "ninety-seven billion, six hundred eighty-one million, one hundred fifteen thousand, six hundred twenty-five".

Divisors: 1 3 5 15 25 75 89 125 267 375 445 625 1335 1875 2225 3125 6675 9375 11125 33375 55625 117071 166875 278125 351213 585355 834375 1756065 2926775 8780325 10419319 14633875 31257957 43901625 52096595 73169375 156289785 219508125 260482975 365846875 781448925 1097540625 1302414875 3907244625 6512074375 19536223125 32560371875 97681115625