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10537903781 = 1761101100613
BaseRepresentation
bin10011101000001101…
…11010011010100101
31000012101220222101122
421310012322122211
5133040200410111
64501355503325
7522065463356
oct116406723245
930171828348
1010537903781
114518410099
122061157b45
13cbc283c32
1471d783d2d
1541a211cdb
hex2741ba6a5

10537903781 has 16 divisors (see below), whose sum is σ = 11453092848. Its totient is φ = 9658752000.

The previous prime is 10537903777. The next prime is 10537903819. The reversal of 10537903781 is 18730973501.

10537903781 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 504676225 + 10033227556 = 22465^2 + 100166^2 .

It is a cyclic number.

It is not a de Polignac number, because 10537903781 - 22 = 10537903777 is a prime.

It is a super-2 number, since 2×105379037812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10537903711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54431 + ... + 155043.

It is an arithmetic number, because the mean of its divisors is an integer number (715818303).

Almost surely, 210537903781 is an apocalyptic number.

It is an amenable number.

10537903781 is a deficient number, since it is larger than the sum of its proper divisors (915189067).

10537903781 is a wasteful number, since it uses less digits than its factorization.

10537903781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100792.

The product of its (nonzero) digits is 158760, while the sum is 44.

Multiplying 10537903781 by its sum of digits (44), we get a palindrome (463667766364).

The spelling of 10537903781 in words is "ten billion, five hundred thirty-seven million, nine hundred three thousand, seven hundred eighty-one".

Divisors: 1 17 61 101 1037 1717 6161 100613 104737 1710421 6137393 10161913 104335681 172752521 619876693 10537903781