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10557275501 = 1947157257293
BaseRepresentation
bin10011101010100001…
…10011110101101101
31000020202101011101202
421311100303311231
5133110130304001
64503331015245
7522422234603
oct116520636555
930222334352
1010557275501
114528341383
12206773a525
13cc32a73a6
14722187873
1541bc8b96b
hex275433d6d

10557275501 has 32 divisors (see below), whose sum is σ = 11505231360. Its totient is φ = 9655566336.

The previous prime is 10557275489. The next prime is 10557275537.

10557275501 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10557275501 - 210 = 10557274477 is a prime.

It is a super-2 number, since 2×105572755012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10557275801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36031511 + ... + 36031803.

It is an arithmetic number, because the mean of its divisors is an integer number (359538480).

Almost surely, 210557275501 is an apocalyptic number.

It is an amenable number.

10557275501 is a deficient number, since it is larger than the sum of its proper divisors (947955859).

10557275501 is a wasteful number, since it uses less digits than its factorization.

10557275501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773.

The product of its (nonzero) digits is 61250, while the sum is 38.

The spelling of 10557275501 in words is "ten billion, five hundred fifty-seven million, two hundred seventy-five thousand, five hundred one".

Divisors: 1 19 47 157 257 293 893 2983 4883 5567 7379 12079 13771 40349 46001 75301 140201 229501 261649 766631 874019 1430719 1896403 2162047 3539147 11822257 36031657 41078893 67243793 224622883 555646079 10557275501