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97978817953 is a prime number
BaseRepresentation
bin101101100111111111…
…1100001110110100001
3100100220022102122201101
41123033333201312201
53101130034133303
6113002202034401
710036002132322
oct1331777416641
9310808378641
1097978817953
1138609541115
1216ba4aa8a01
139315b59c33
144a56850449
152836a90d1d
hex16cffe1da1

97978817953 has 2 divisors, whose sum is σ = 97978817954. Its totient is φ = 97978817952.

The previous prime is 97978817927. The next prime is 97978818061. The reversal of 97978817953 is 35971887979.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80878809664 + 17100008289 = 284392^2 + 130767^2 .

It is a cyclic number.

It is not a de Polignac number, because 97978817953 - 29 = 97978817441 is a prime.

It is a super-2 number, since 2×979788179532 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (97978817653) 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 as a sum of consecutive naturals, namely, 48989408976 + 48989408977.

It is an arithmetic number, because the mean of its divisors is an integer number (48989408977).

Almost surely, 297978817953 is an apocalyptic number.

It is an amenable number.

97978817953 is a deficient number, since it is larger than the sum of its proper divisors (1).

97978817953 is an equidigital number, since it uses as much as digits as its factorization.

97978817953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 240045120, while the sum is 73.

The spelling of 97978817953 in words is "ninety-seven billion, nine hundred seventy-eight million, eight hundred seventeen thousand, nine hundred fifty-three".