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10475657401 = 11286575681
BaseRepresentation
bin10011100000110010…
…11101100010111001
31000001001210112102011
421300121131202321
5132423232014101
64451253405521
7520411422136
oct116031354271
930031715364
1010475657401
114496265500
1220443398a1
13cac3cb661
147153bd58d
15414a18751
hex27065d8b9

10475657401 has 6 divisors (see below), whose sum is σ = 11514565706. Its totient is φ = 9523324800.

The previous prime is 10475657393. The next prime is 10475657407.

10475657401 is nontrivially palindromic in base 10.

10475657401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10119354025 + 356303376 = 100595^2 + 18876^2 .

It is not a de Polignac number, because 10475657401 - 23 = 10475657393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10475657407) 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 5 ways as a sum of consecutive naturals, for example, 43287720 + ... + 43287961.

Almost surely, 210475657401 is an apocalyptic number.

10475657401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10475657401 is a deficient number, since it is larger than the sum of its proper divisors (1038908305).

10475657401 is an equidigital number, since it uses as much as digits as its factorization.

10475657401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86575703 (or 86575692 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The spelling of 10475657401 in words is "ten billion, four hundred seventy-five million, six hundred fifty-seven thousand, four hundred one".

Divisors: 1 11 121 86575681 952332491 10475657401