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201921848856 = 233271330818353
BaseRepresentation
bin1011110000001101111…
…0101110011000011000
3201022012021120201111200
42330003132232120120
511302013443130411
6232432301554200
720405545252620
oct2740336563030
9638167521450
10201921848856
11786a868a742
1233173275960
131606c532850
149ab7435880
1553bc04ae56
hex2f037ae618

201921848856 has 96 divisors (see below), whose sum is σ = 673072851360. Its totient is φ = 53254112256.

The previous prime is 201921848833. The next prime is 201921848939. The reversal of 201921848856 is 658848129102.

201921848856 is a `hidden beast` number, since 20 + 1 + 92 + 1 + 8 + 488 + 56 = 666.

201921848856 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15402625 + ... + 15415728.

It is an arithmetic number, because the mean of its divisors is an integer number (7011175535).

Almost surely, 2201921848856 is an apocalyptic number.

201921848856 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

201921848856 is an abundant number, since it is smaller than the sum of its proper divisors (471151002504).

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

201921848856 is a wasteful number, since it uses less digits than its factorization.

201921848856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30818385 (or 30818378 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 201921848856 in words is "two hundred one billion, nine hundred twenty-one million, eight hundred forty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 30818353 61636706 92455059 123273412 184910118 215728471 246546824 277365177 369820236 400638589 431456942 554730354 647185413 739640472 801277178 862913884 1109460708 1201915767 1294370826 1602554356 1725827768 1941556239 2218921416 2403831534 2588741652 2804470123 3205108712 3605747301 3883112478 4807663068 5177483304 5608940246 7211494602 7766224956 8413410369 9615326136 11217880492 14422989204 15532449912 16826820738 22435760984 25240231107 28845978408 33653641476 50480462214 67307282952 100960924428 201921848856