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67310431104 = 273747532789
BaseRepresentation
bin111110101100000000…
…111010101110000000
320102201222110011221210
4332230000322232000
52100322432243404
650531052050120
74602005136630
oct765400725600
9212658404853
1067310431104
1126600a90164
1211066163940
136469173a77
14338773a6c0
151b3e43b689
hexfac03ab80

67310431104 has 128 divisors (see below), whose sum is σ = 208683187200. Its totient is φ = 18822334464.

The previous prime is 67310431103. The next prime is 67310431127. The reversal of 67310431104 is 40113401376.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67310431103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140059 + ... + 392730.

It is an arithmetic number, because the mean of its divisors is an integer number (1630337400).

Almost surely, 267310431104 is an apocalyptic number.

67310431104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

67310431104 is an abundant number, since it is smaller than the sum of its proper divisors (141372756096).

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

67310431104 is a wasteful number, since it uses less digits than its factorization.

67310431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532860 (or 532848 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 67310431104 in words is "sixty-seven billion, three hundred ten million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 128 141 168 188 192 224 282 329 336 376 384 448 564 658 672 752 896 987 1128 1316 1344 1504 1974 2256 2632 2688 3008 3948 4512 5264 6016 7896 9024 10528 15792 18048 21056 31584 42112 63168 126336 532789 1065578 1598367 2131156 3196734 3729523 4262312 6393468 7459046 8524624 11188569 12786936 14918092 17049248 22377138 25041083 25573872 29836184 34098496 44754276 50082166 51147744 59672368 68196992 75123249 89508552 100164332 102295488 119344736 150246498 175287581 179017104 200328664 204590976 238689472 300492996 350575162 358034208 400657328 477378944 525862743 600985992 701150324 716068416 801314656 1051725486 1201971984 1402300648 1432136832 1602629312 2103450972 2403943968 2804601296 3205258624 4206901944 4807887936 5609202592 8413803888 9615775872 11218405184 16827607776 22436810368 33655215552 67310431104