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10475317801 = 13278732
BaseRepresentation
bin10011100000110000…
…01010101000101001
31000001001011021120101
421300120022220221
5132423140132201
64451242225401
7520405506064
oct116030125051
930031137511
1010475317801
114496053343
1220441b5261
13cac30cc00
147153318db
1541499cd01
hex27060aa29

10475317801 has 9 divisors (see below), whose sum is σ = 11344536549. Its totient is φ = 9668295936.

The previous prime is 10475317729. The next prime is 10475317807. The reversal of 10475317801 is 10871357401.

The square root of 10475317801 is 102349.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7421650201 + 3053667600 = 86149^2 + 55260^2 .

It is not a de Polignac number, because 10475317801 - 231 = 8327834153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10475317807) 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 in 8 ways as a sum of consecutive naturals, for example, 1326601 + ... + 1334473.

It is an arithmetic number, because the mean of its divisors is an integer number (1260504061).

Almost surely, 210475317801 is an apocalyptic number.

10475317801 is the 102349-th square number.

10475317801 is the 51175-th centered octagonal number.

It is an amenable number.

10475317801 is a deficient number, since it is larger than the sum of its proper divisors (869218748).

10475317801 is an frugal number, since it uses more digits than its factorization.

10475317801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15772 (or 7886 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 37.

The spelling of 10475317801 in words is "ten billion, four hundred seventy-five million, three hundred seventeen thousand, eight hundred one".

Divisors: 1 13 169 7873 102349 1330537 61984129 805793677 10475317801