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10540077678 = 2321345043067
BaseRepresentation
bin10011101000011110…
…01101001001101110
31000012120000102102100
421310033031021232
5133041224441203
64501514235530
7522123116304
oct116417151156
930176012370
1010540077678
1145196653a9
122061a25ba6
13cbc865570
1471db8c274
1541a4e0ea3
hex2743cd26e

10540077678 has 24 divisors (see below), whose sum is σ = 24593515128. Its totient is φ = 3243100752.

The previous prime is 10540077661. The next prime is 10540077697. The reversal of 10540077678 is 87677004501.

10540077678 is a `hidden beast` number, since 105 + 400 + 7 + 76 + 78 = 666.

It is a super-2 number, since 2×105400776782 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22521300 + ... + 22521767.

It is an arithmetic number, because the mean of its divisors is an integer number (1024729797).

Almost surely, 210540077678 is an apocalyptic number.

10540077678 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10540077678 is an abundant number, since it is smaller than the sum of its proper divisors (14053437450).

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

10540077678 is a wasteful number, since it uses less digits than its factorization.

10540077678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45043088 (or 45043085 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 10540077678 in words is "ten billion, five hundred forty million, seventy-seven thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 45043067 90086134 135129201 270258402 405387603 585559871 810775206 1171119742 1756679613 3513359226 5270038839 10540077678