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906879490753 is a prime number
BaseRepresentation
bin11010011001001100011…
…10101101101011000001
310012200210222202102102011
431030212032231223001
5104324242122201003
61532340434452521
7122343214324615
oct15144616555301
93180728672364
10906879490753
1131a672915045
12127914134141
1367697b1a3b2
1431c70d33345
15188cb48e46d
hexd3263adac1

906879490753 has 2 divisors, whose sum is σ = 906879490754. Its totient is φ = 906879490752.

The previous prime is 906879490739. The next prime is 906879490807. The reversal of 906879490753 is 357094978609.

906879490753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 607109005584 + 299770485169 = 779172^2 + 547513^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-906879490753 is a prime.

It is a super-3 number, since 3×9068794907533 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (906879490553) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 453439745376 + 453439745377.

It is an arithmetic number, because the mean of its divisors is an integer number (453439745377).

Almost surely, 2906879490753 is an apocalyptic number.

It is an amenable number.

906879490753 is a deficient number, since it is larger than the sum of its proper divisors (1).

906879490753 is an equidigital number, since it uses as much as digits as its factorization.

906879490753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 102876480, while the sum is 67.

The spelling of 906879490753 in words is "nine hundred six billion, eight hundred seventy-nine million, four hundred ninety thousand, seven hundred fifty-three".