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10540984542 = 2311159711887
BaseRepresentation
bin10011101000100101…
…01010100011011110
31000012121201111101220
421310102222203132
5133041443001132
64501545514210
7522133614234
oct116422524336
930177644356
1010540984542
11451a124780
1220621a2966
13cbcac227a
1471dd46954
1541a61ea2c
hex2744aa8de

10540984542 has 16 divisors (see below), whose sum is σ = 22998511872. Its totient is φ = 3194237720.

The previous prime is 10540984513. The next prime is 10540984543. The reversal of 10540984542 is 24548904501.

10540984542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105409845422 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10540984494 and 10540984503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10540984543) 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 7 ways as a sum of consecutive naturals, for example, 79855878 + ... + 79856009.

It is an arithmetic number, because the mean of its divisors is an integer number (1437406992).

Almost surely, 210540984542 is an apocalyptic number.

10540984542 is an abundant number, since it is smaller than the sum of its proper divisors (12457527330).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10540984542 is a wasteful number, since it uses less digits than its factorization.

10540984542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159711903.

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 10540984542 in words is "ten billion, five hundred forty million, nine hundred eighty-four thousand, five hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 159711887 319423774 479135661 958271322 1756830757 3513661514 5270492271 10540984542