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10006110492 = 2237432770241
BaseRepresentation
bin10010101000110100…
…10010000100011100
3221211100021002010220
421110122102010130
5130443031013432
64332521401340
7502650351540
oct112432220434
927740232126
1010006110492
114275208a04
121b33039250
13c36049851
146accb3a20
153d86b872c
hex25469211c

10006110492 has 48 divisors (see below), whose sum is σ = 27303505152. Its totient is φ = 2792401920.

The previous prime is 10006110481. The next prime is 10006110547. The reversal of 10006110492 is 29401160001.

It is a super-2 number, since 2×100061104922 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1381509 + ... + 1388732.

It is an arithmetic number, because the mean of its divisors is an integer number (568823024).

Almost surely, 210006110492 is an apocalyptic number.

10006110492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10006110492 is an abundant number, since it is smaller than the sum of its proper divisors (17297394660).

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

10006110492 is a wasteful number, since it uses less digits than its factorization.

10006110492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770298 (or 2770296 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 10006110492 its reverse (29401160001), we get a palindrome (39407270493).

The spelling of 10006110492 in words is "ten billion, six million, one hundred ten thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1204 1806 3612 2770241 5540482 8310723 11080964 16621446 19391687 33242892 38783374 58175061 77566748 116350122 119120363 232700244 238240726 357361089 476481452 714722178 833842541 1429444356 1667685082 2501527623 3335370164 5003055246 10006110492