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67794965387808 = 25353119311168887
BaseRepresentation
bin11110110101000101111101…
…10101000101101000100000
322220001010122200222102202220
433122202332311011220200
532341223042114402213
6400104324355111040
720165011304465211
oct1732427665055040
9286033580872686
1067794965387808
111a66875760651a
12772b1508a2480
132baa0650964c9
1412a54183c3408
157c87815a1e23
hex3da8bed45a20

67794965387808 has 96 divisors (see below), whose sum is σ = 181471556117376. Its totient is φ = 22153351354368.

The previous prime is 67794965387797. The next prime is 67794965387879. The reversal of 67794965387808 is 80878356949776.

It is a happy number.

67794965387808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485541 + ... + 11654427.

It is an arithmetic number, because the mean of its divisors is an integer number (1890328709556).

Almost surely, 267794965387808 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 67794965387808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90735778058688).

67794965387808 is an abundant number, since it is smaller than the sum of its proper divisors (113676590729568).

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

67794965387808 is a wasteful number, since it uses less digits than its factorization.

67794965387808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11170146 (or 11170138 counting only the distinct ones).

The product of its (nonzero) digits is 30725775360, while the sum is 87.

The spelling of 67794965387808 in words is "sixty-seven trillion, seven hundred ninety-four billion, nine hundred sixty-five million, three hundred eighty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1193 1272 1696 2386 2544 3579 4772 5088 7158 9544 14316 19088 28632 38176 57264 63229 114528 126458 189687 252916 379374 505832 758748 1011664 1517496 2023328 3034992 6069984 11168887 22337774 33506661 44675548 67013322 89351096 134026644 178702192 268053288 357404384 536106576 591951011 1072213152 1183902022 1775853033 2367804044 3551706066 4735608088 7103412132 9471216176 13324482191 14206824264 18942432352 26648964382 28413648528 39973446573 53297928764 56827297056 79946893146 106595857528 159893786292 213191715056 319787572584 426383430112 639575145168 706197556123 1279150290336 1412395112246 2118592668369 2824790224492 4237185336738 5649580448984 8474370673476 11299160897968 16948741346952 22598321795936 33897482693904 67794965387808