Search a number
-
+
212648422324 = 2213891011632791
BaseRepresentation
bin1100011000001011010…
…1010110101110110100
3202022212211112010001111
43012002311112232310
511441000444003244
6241404521404404
721235424523562
oct3060265265664
9668784463044
10212648422324
1182202544098
1235267639704
131708b904840
14a413c8ca32
1557e8ac9e34
hex3182d56bb4

212648422324 has 96 divisors (see below), whose sum is σ = 411934360320. Its totient is φ = 95458176000.

The previous prime is 212648422307. The next prime is 212648422381. The reversal of 212648422324 is 423224846212.

212648422324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 76189369 + ... + 76192159.

It is an arithmetic number, because the mean of its divisors is an integer number (4290982920).

Almost surely, 2212648422324 is an apocalyptic number.

It is an amenable number.

212648422324 is a deficient number, since it is larger than the sum of its proper divisors (199285937996).

212648422324 is a wasteful number, since it uses less digits than its factorization.

212648422324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161 (or 3159 counting only the distinct ones).

The product of its digits is 294912, while the sum is 40.

The spelling of 212648422324 in words is "two hundred twelve billion, six hundred forty-eight million, four hundred twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 4 13 26 52 89 101 163 178 202 326 356 404 652 1157 1313 2119 2314 2626 2791 4238 4628 5252 5582 8476 8989 11164 14507 16463 17978 29014 32926 35956 36283 58028 65852 72566 116857 145132 188591 214019 233714 248399 281891 377182 428038 454933 467428 496798 563782 754364 856076 909866 993596 1127564 1465207 1819732 2930414 3229187 3664583 5860828 5914129 6458374 7329166 11828258 12916748 14658332 19047691 23656516 25088299 38095382 40489037 45948233 50176598 76190764 80978074 91896466 100353196 161956148 183792932 326147887 526357481 597327029 652295774 1052714962 1194654058 1304591548 2105429924 2389308116 4089392737 8178785474 16357570948 53162105581 106324211162 212648422324