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874005631668 = 2232131867533401
BaseRepresentation
bin11001011011111101100…
…10111001001010110100
310002112221221210100111200
430231332302321022310
5103304430420203133
61505302421532500
7120100450202061
oct14557662711264
93075857710450
10874005631668
11307733437164
1212147a874130
1364559237b80
1430432d59c68
1517b053db913
hexcb7ecb92b4

874005631668 has 36 divisors (see below), whose sum is σ = 2379237554148. Its totient is φ = 268924809600.

The previous prime is 874005631651. The next prime is 874005631669. The reversal of 874005631668 is 866136500478.

874005631668 is a `hidden beast` number, since 8 + 7 + 4 + 0 + 0 + 563 + 16 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63497952144 + 810507679524 = 251988^2 + 900282^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874005631669) by changing a digit.

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, 933766233 + ... + 933767168.

Almost surely, 2874005631668 is an apocalyptic number.

It is an amenable number.

874005631668 is an abundant number, since it is smaller than the sum of its proper divisors (1505231922480).

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

874005631668 is a wasteful number, since it uses less digits than its factorization.

874005631668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867533424 (or 1867533419 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 874005631668 in words is "eight hundred seventy-four billion, five million, six hundred thirty-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1867533401 3735066802 5602600203 7470133604 11205200406 16807800609 22410400812 24277934213 33615601218 48555868426 67231202436 72833802639 97111736852 145667605278 218501407917 291335210556 437002815834 874005631668