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97935198916 = 2237242292
BaseRepresentation
bin101101100110101100…
…1001000101011000100
3100100210021100120122111
41123031121020223010
53101032402331131
6112554003110404
710034632312162
oct1331531105304
9310707316574
1097935198916
1138596959525
1216b92372404
139309ac7059
144a50b38232
152832d26ab1
hex16cd648ac4

97935198916 has 27 divisors (see below), whose sum is σ = 176185520679. Its totient is φ = 47632884768.

The previous prime is 97935198899. The next prime is 97935198919. The reversal of 97935198916 is 61989153979.

The square root of 97935198916 is 312946.

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

It can be written as a sum of positive squares in 4 ways, for example, as 83653992900 + 14281206016 = 289230^2 + 119504^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97935198919) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 23155890 + ... + 23160118.

Almost surely, 297935198916 is an apocalyptic number.

97935198916 is the 312946-th square number.

It is an amenable number.

97935198916 is a deficient number, since it is larger than the sum of its proper divisors (78250321763).

97935198916 is an frugal number, since it uses more digits than its factorization.

97935198916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8536 (or 4268 counting only the distinct ones).

The product of its digits is 33067440, while the sum is 67.

The spelling of 97935198916 in words is "ninety-seven billion, nine hundred thirty-five million, one hundred ninety-eight thousand, nine hundred sixteen".

Divisors: 1 2 4 37 74 148 1369 2738 4229 5476 8458 16916 156473 312946 625892 5789501 11579002 17884441 23158004 35768882 71537764 661724317 1323448634 2646897268 24483799729 48967599458 97935198916