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10136462401 = 131495233073
BaseRepresentation
bin10010111000010111…
…00010010001000001
3222011102112122100101
421130023202101001
5131224413244101
64353455322401
7506122336342
oct113413422101
928142478311
1010136462401
11433185025a
121b6a820401
13c57059560
146c23260c9
153e4d66401
hex25c2e2441

10136462401 has 8 divisors (see below), whose sum is σ = 10989455400. Its totient is φ = 9293935872.

The previous prime is 10136462393. The next prime is 10136462407. The reversal of 10136462401 is 10426463101.

It is a Cunningham number, because it is equal to 1006802+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1187491600 + 8948970801 = 34460^2 + 94599^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10136462401 - 23 = 10136462393 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10136462401.

It is not an unprimeable number, because it can be changed into a prime (10136462407) 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 7 ways as a sum of consecutive naturals, for example, 2614600 + ... + 2618473.

It is an arithmetic number, because the mean of its divisors is an integer number (1373681925).

Almost surely, 210136462401 is an apocalyptic number.

It is an amenable number.

10136462401 is a deficient number, since it is larger than the sum of its proper divisors (852992999).

10136462401 is a wasteful number, since it uses less digits than its factorization.

10136462401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5233235.

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 10136462401 in words is "ten billion, one hundred thirty-six million, four hundred sixty-two thousand, four hundred one".

Divisors: 1 13 149 1937 5233073 68029949 779727877 10136462401