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1042991090172 = 22352833791647
BaseRepresentation
bin11110010110101110001…
…11010000100111111100
310200201010211202002100000
433023113013100213330
5114042021204341142
62115050554434300
7135232201663233
oct17132707204774
93621124662300
101042991090172
1137236a309289
1214a17b732990
1377479c33035
14386a3d7bb1a
151c1e5b3214c
hexf2d71d09fc

1042991090172 has 72 divisors (see below), whose sum is σ = 2743757825536. Its totient is φ = 346435111728.

The previous prime is 1042991090149. The next prime is 1042991090231. The reversal of 1042991090172 is 2710901992401.

It is a happy number.

1042991090172 is a `hidden beast` number, since 104 + 299 + 1 + 0 + 90 + 172 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1620748 + ... + 2170899.

Almost surely, 21042991090172 is an apocalyptic number.

1042991090172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1042991090172 is an abundant number, since it is smaller than the sum of its proper divisors (1700766735364).

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

1042991090172 is a wasteful number, since it uses less digits than its factorization.

1042991090172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791949 (or 3791935 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 1042991090172 in words is "one trillion, forty-two billion, nine hundred ninety-one million, ninety thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 283 324 486 566 849 972 1132 1698 2547 3396 5094 7641 10188 15282 22923 30564 45846 68769 91692 137538 275076 3791647 7583294 11374941 15166588 22749882 34124823 45499764 68249646 102374469 136499292 204748938 307123407 409497876 614246814 921370221 1073036101 1228493628 1842740442 2146072202 3219108303 3685480884 4292144404 6438216606 9657324909 12876433212 19314649818 28971974727 38629299636 57943949454 86915924181 115887898908 173831848362 260747772543 347663696724 521495545086 1042991090172