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3303664313216 = 27892511155373
BaseRepresentation
bin110000000100110001101…
…111001110001110000000
3102200211100001020200221112
4300010301233032032000
5413111401031010331
611005403223342452
7460452611221361
oct60046157161600
912624301220845
103303664313216
111064092418803
124543325b1a28
131ac6c3868b87
14b5c80969b68
155ae0896a32b
hex30131bce380

3303664313216 has 64 divisors (see below), whose sum is σ = 6681989991600. Its totient is φ = 1626763776000.

The previous prime is 3303664313203. The next prime is 3303664313239. The reversal of 3303664313216 is 6123134663033.

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

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 7 ways as a sum of consecutive naturals, for example, 2281706 + ... + 3437078.

Almost surely, 23303664313216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3303664313216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340994995800).

3303664313216 is an abundant number, since it is smaller than the sum of its proper divisors (3378325678384).

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

3303664313216 is a wasteful number, since it uses less digits than its factorization.

3303664313216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155727 (or 1155715 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 41.

Adding to 3303664313216 its reverse (6123134663033), we get a palindrome (9426798976249).

The spelling of 3303664313216 in words is "three trillion, three hundred three billion, six hundred sixty-four million, three hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 89 128 178 251 356 502 712 1004 1424 2008 2848 4016 5696 8032 11392 16064 22339 32128 44678 89356 178712 357424 714848 1155373 1429696 2310746 2859392 4621492 9242984 18485968 36971936 73943872 102828197 147887744 205656394 289998623 411312788 579997246 822625576 1159994492 1645251152 2319988984 3290502304 4639977968 6581004608 9279955936 13162009216 18559911872 25809877447 37119823744 51619754894 103239509788 206479019576 412958039152 825916078304 1651832156608 3303664313216