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10542306537 = 327223905457
BaseRepresentation
bin10011101000101111…
…01101010011101001
31000012201012122211200
421310113231103221
5133042312302122
64502034114413
7522151061400
oct116427552351
930181178750
1010542306537
11451a947a34
12206271ba09
13cc0165c09
147201ac637
1541a7d15ac
hex2745ed4e9

10542306537 has 18 divisors (see below), whose sum is σ = 17713944378. Its totient is φ = 6024174912.

The previous prime is 10542306529. The next prime is 10542306539. The reversal of 10542306537 is 73560324501.

It can be written as a sum of positive squares in only one way, i.e., 10540923561 + 1382976 = 102669^2 + 1176^2 .

It is not a de Polignac number, because 10542306537 - 23 = 10542306529 is a prime.

It is a super-2 number, since 2×105423065372 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10542306539) 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 17 ways as a sum of consecutive naturals, for example, 11952288 + ... + 11953169.

It is an arithmetic number, because the mean of its divisors is an integer number (984108021).

Almost surely, 210542306537 is an apocalyptic number.

It is an amenable number.

10542306537 is a deficient number, since it is larger than the sum of its proper divisors (7171637841).

10542306537 is a wasteful number, since it uses less digits than its factorization.

10542306537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23905477 (or 23905467 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 10542306537 in words is "ten billion, five hundred forty-two million, three hundred six thousand, five hundred thirty-seven".

Divisors: 1 3 7 9 21 49 63 147 441 23905457 71716371 167338199 215149113 502014597 1171367393 1506043791 3514102179 10542306537