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268143005628 = 223241181668703
BaseRepresentation
bin1111100110111010010…
…0011000111110111100
3221122010100101000222200
43321232210120332330
513343124102140003
6323103323111500
725241555640621
oct3715644307674
9848110330880
10268143005628
11a379a810983
1243b74672590
131c393b0c894
14cd9a226348
156e95a1e6a3
hex3e6e918fbc

268143005628 has 36 divisors (see below), whose sum is σ = 694337786688. Its totient is φ = 87200976960.

The previous prime is 268143005531. The next prime is 268143005659. The reversal of 268143005628 is 826500341862.

268143005628 is a `hidden beast` number, since 2 + 6 + 8 + 14 + 3 + 0 + 0 + 5 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 90832876 + ... + 90835827.

Almost surely, 2268143005628 is an apocalyptic number.

It is an amenable number.

268143005628 is an abundant number, since it is smaller than the sum of its proper divisors (426194781060).

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

268143005628 is a wasteful number, since it uses less digits than its factorization.

268143005628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181668754 (or 181668749 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 268143005628 in words is "two hundred sixty-eight billion, one hundred forty-three million, five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 181668703 363337406 545006109 726674812 1090012218 1635018327 2180024436 3270036654 6540073308 7448416823 14896833646 22345250469 29793667292 44690500938 67035751407 89381001876 134071502814 268143005628