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21856091904 = 283247201833
BaseRepresentation
bin10100010110101110…
…010111111100000000
32002102012002111200100
4110112232113330000
5324230124420104
614012431522400
71402420500363
oct242656277400
962365074610
1021856091904
1192a6215379
12429b689400
1320a40a6b7a
1410b4a000da
1587dba4139
hex516b97f00

21856091904 has 108 divisors (see below), whose sum is σ = 64357596576. Its totient is φ = 7130320896.

The previous prime is 21856091897. The next prime is 21856091911. The reversal of 21856091904 is 40919065812.

21856091904 is a `hidden beast` number, since 21 + 8 + 5 + 609 + 19 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (21856091897) and next prime (21856091911).

It is a self number, because there is not a number n which added to its sum of digits gives 21856091904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7372 + ... + 209204.

It is an arithmetic number, because the mean of its divisors is an integer number (595903672).

Almost surely, 221856091904 is an apocalyptic number.

21856091904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21856091904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32178798288).

21856091904 is an abundant number, since it is smaller than the sum of its proper divisors (42501504672).

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

21856091904 is a wasteful number, since it uses less digits than its factorization.

21856091904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201902 (or 201885 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 21856091904 in words is "twenty-one billion, eight hundred fifty-six million, ninety-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 376 384 423 564 576 752 768 846 1128 1152 1504 1692 2256 2304 3008 3384 4512 6016 6768 9024 12032 13536 18048 27072 36096 54144 108288 201833 403666 605499 807332 1210998 1614664 1816497 2421996 3229328 3632994 4843992 6458656 7265988 9486151 9687984 12917312 14531976 18972302 19375968 25834624 28458453 29063952 37944604 38751936 51669248 56916906 58127904 75889208 77503872 85375359 113833812 116255808 151778416 155007744 170750718 227667624 232511616 303556832 341501436 455335248 465023232 607113664 683002872 910670496 1214227328 1366005744 1821340992 2428454656 2732011488 3642681984 5464022976 7285363968 10928045952 21856091904