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7247997461 is a prime number
BaseRepresentation
bin1101100000000001…
…11010101000010101
3200201010101102100102
412300000322220111
5104320441404321
63155113423445
7344416650635
oct66000725025
920633342312
107247997461
11308a33a851
1214a340ab85
138b67c6cc3
144ca8746c5
152c64a4c0b
hex1b003aa15

7247997461 has 2 divisors, whose sum is σ = 7247997462. Its totient is φ = 7247997460.

The previous prime is 7247997403. The next prime is 7247997499. The reversal of 7247997461 is 1647997427.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5801716561 + 1446280900 = 76169^2 + 38030^2 .

It is a cyclic number.

It is not a de Polignac number, because 7247997461 - 222 = 7243803157 is a prime.

It is a super-3 number, since 3×72479974613 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7247997397 and 7247997406.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7247907461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3623998730 + 3623998731.

It is an arithmetic number, because the mean of its divisors is an integer number (3623998731).

Almost surely, 27247997461 is an apocalyptic number.

It is an amenable number.

7247997461 is a deficient number, since it is larger than the sum of its proper divisors (1).

7247997461 is an equidigital number, since it uses as much as digits as its factorization.

7247997461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5334336, while the sum is 56.

The square root of 7247997461 is about 85135.1717035915. The cubic root of 7247997461 is about 1935.2601066302.

The spelling of 7247997461 in words is "seven billion, two hundred forty-seven million, nine hundred ninety-seven thousand, four hundred sixty-one".