Search a number
-
+
10429271557 = 41432137573
BaseRepresentation
bin10011011011010001…
…00000111000000101
3222220211111212222221
421231220200320011
5132324343142212
64442515252341
7516306226345
oct115550407005
928824455887
1010429271557
1144720630a1
1220308aa0b1
13ca290a303
1470d186d25
15410904807
hex26da20e05

10429271557 has 12 divisors (see below), whose sum is σ = 10937958444. Its totient is φ = 9938201280.

The previous prime is 10429271533. The next prime is 10429271563. The reversal of 10429271557 is 75517292401.

It can be written as a sum of positive squares in 2 ways, for example, as 3634401796 + 6794869761 = 60286^2 + 82431^2 .

It is not a de Polignac number, because 10429271557 - 219 = 10428747269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10429271507) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7023 + ... + 144595.

It is an arithmetic number, because the mean of its divisors is an integer number (911496537).

Almost surely, 210429271557 is an apocalyptic number.

It is an amenable number.

10429271557 is a deficient number, since it is larger than the sum of its proper divisors (508686887).

10429271557 is an equidigital number, since it uses as much as digits as its factorization.

10429271557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137700 (or 137657 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 43.

It can be divided in two parts, 1042927 and 1557, that added together give a square (1044484 = 10222).

The spelling of 10429271557 in words is "ten billion, four hundred twenty-nine million, two hundred seventy-one thousand, five hundred fifty-seven".

Divisors: 1 41 43 1763 1849 75809 137573 5640493 5915639 242541199 254372477 10429271557