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67990779648 = 283311894239
BaseRepresentation
bin111111010100100100…
…001111011100000000
320111111101122110201000
4333110210033130000
52103221114422043
651122354212000
74624606043241
oct772444173400
9214441573630
1067990779648
1126920028090
1211215b84000
1365470c257c
14340dc3acc8
151b7e02b2d3
hexfd490f700

67990779648 has 144 divisors (see below), whose sum is σ = 219339187200. Its totient is φ = 20603243520.

The previous prime is 67990779599. The next prime is 67990779679. The reversal of 67990779648 is 84697709976.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×679907796482 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 15 ways as a sum of consecutive naturals, for example, 371088 + ... + 523151.

It is an arithmetic number, because the mean of its divisors is an integer number (1523188800).

Almost surely, 267990779648 is an apocalyptic number.

It is an amenable number.

67990779648 is an abundant number, since it is smaller than the sum of its proper divisors (151348407552).

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

67990779648 is a wasteful number, since it uses less digits than its factorization.

67990779648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894275 (or 894255 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 72.

The spelling of 67990779648 in words is "sixty-seven billion, nine hundred ninety million, seven hundred seventy-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 528 576 594 704 768 792 864 1056 1152 1188 1408 1584 1728 2112 2304 2376 2816 3168 3456 4224 4752 6336 6912 8448 9504 12672 19008 25344 38016 76032 894239 1788478 2682717 3576956 5365434 7153912 8048151 9836629 10730868 14307824 16096302 19673258 21461736 24144453 28615648 29509887 32192604 39346516 42923472 48288906 57231296 59019774 64385208 78693032 85846944 88529661 96577812 114462592 118039548 128770416 157386064 171693888 177059322 193155624 228925184 236079096 257540832 265588983 314772128 343387776 354118644 386311248 472158192 515081664 531177966 629544256 686775552 708237288 772622496 944316384 1030163328 1062355932 1259088512 1416474576 1545244992 1888632768 2060326656 2124711864 2518177024 2832949152 3090489984 3777265536 4249423728 5665898304 6180979968 7554531072 8498847456 11331796608 16997694912 22663593216 33995389824 67990779648