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7468832801 is a prime number
BaseRepresentation
bin1101111010010110…
…10101100000100001
3201021111221000111002
412331023111200201
5110244010122201
63233043001345
7353041013513
oct67513254041
921244830432
107468832801
113192a636a1
121545369255
139204979c1
1450bd1bbb3
152daa7776b
hex1bd2d5821

7468832801 has 2 divisors, whose sum is σ = 7468832802. Its totient is φ = 7468832800.

The previous prime is 7468832737. The next prime is 7468832807. The reversal of 7468832801 is 1082388647.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5026101025 + 2442731776 = 70895^2 + 49424^2 .

It is a cyclic number.

It is not a de Polignac number, because 7468832801 - 26 = 7468832737 is a prime.

It is not a weakly prime, because it can be changed into another prime (7468832807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3734416400 + 3734416401.

It is an arithmetic number, because the mean of its divisors is an integer number (3734416401).

Almost surely, 27468832801 is an apocalyptic number.

It is an amenable number.

7468832801 is a deficient number, since it is larger than the sum of its proper divisors (1).

7468832801 is an equidigital number, since it uses as much as digits as its factorization.

7468832801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 516096, while the sum is 47.

The square root of 7468832801 is about 86422.4091367511. The cubic root of 7468832801 is about 1954.7186013174.

The spelling of 7468832801 in words is "seven billion, four hundred sixty-eight million, eight hundred thirty-two thousand, eight hundred one".