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216219540128 = 25971272692039
BaseRepresentation
bin1100100101011110110…
…0000101101010100000
3202200002201012200201212
43021113230011222200
512020304200241003
6243155131045252
721423056524004
oct3112754055240
9680081180655
10216219540128
1183775325819
1235aa35a0828
131750a7116b7
14a672280704
155957383dd8
hex3257b05aa0

216219540128 has 96 divisors (see below), whose sum is σ = 435281817600. Its totient is φ = 105706266624.

The previous prime is 216219540113. The next prime is 216219540137. The reversal of 216219540128 is 821045912612.

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 15 ways as a sum of consecutive naturals, for example, 106040933 + ... + 106042971.

It is an arithmetic number, because the mean of its divisors is an integer number (4534185600).

Almost surely, 2216219540128 is an apocalyptic number.

It is an amenable number.

216219540128 is an abundant number, since it is smaller than the sum of its proper divisors (219062277472).

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

216219540128 is a wasteful number, since it uses less digits than its factorization.

216219540128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The spelling of 216219540128 in words is "two hundred sixteen billion, two hundred nineteen million, five hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 97 127 194 254 269 388 508 538 776 1016 1076 1552 2032 2039 2152 3104 4064 4078 4304 8156 8608 12319 16312 24638 26093 32624 34163 49276 52186 65248 68326 98552 104372 136652 197104 197783 208744 258953 273304 394208 395566 417488 517906 546608 548491 791132 834976 1035812 1093216 1096982 1582264 2071624 2193964 3164528 3313811 4143248 4387928 6329056 6627622 8286496 8775856 13255244 17551712 25118441 26510488 50236882 53020976 53203627 69658357 100473764 106041952 106407254 139316714 200947528 212814508 278633428 401895056 425629016 557266856 803790112 851258032 1114533712 1702516064 2229067424 6756860629 13513721258 27027442516 54054885032 108109770064 216219540128