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2266105727616 = 27316073672257
BaseRepresentation
bin100000111110011110011…
…011010100101010000000
322000122012210201102220120
4200332132123110222000
5244111441031240431
64453011250140240
7322502132603643
oct40763633245200
98018183642816
102266105727616
117a4060673625
1230722a281680
13135901276cb3
147b9742b5a5a
153de2ec24196
hex20f9e6d4a80

2266105727616 has 64 divisors (see below), whose sum is σ = 6023090681280. Its totient is φ = 754898321408.

The previous prime is 2266105727593. The next prime is 2266105727629. The reversal of 2266105727616 is 6167275016622.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 1219041 + ... + 2453216.

It is an arithmetic number, because the mean of its divisors is an integer number (94110791895).

Almost surely, 22266105727616 is an apocalyptic number.

It is an amenable number.

2266105727616 is an abundant number, since it is smaller than the sum of its proper divisors (3756984953664).

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

2266105727616 is a wasteful number, since it uses less digits than its factorization.

2266105727616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673881 (or 3673869 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 2266105727616 in words is "two trillion, two hundred sixty-six billion, one hundred five million, seven hundred twenty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1607 3214 4821 6428 9642 12856 19284 25712 38568 51424 77136 102848 154272 205696 308544 617088 3672257 7344514 11016771 14689028 22033542 29378056 44067084 58756112 88134168 117512224 176268336 235024448 352536672 470048896 705073344 1410146688 5901316999 11802633998 17703950997 23605267996 35407901994 47210535992 70815803988 94421071984 141631607976 188842143968 283263215952 377684287936 566526431904 755368575872 1133052863808 2266105727616