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6834788920 = 2355961197241
BaseRepresentation
bin1100101110110001…
…01001101000111000
3122122022212020210101
412113120221220320
5102444201221140
63050113125144
7331241514211
oct62730515070
918568766711
106834788920
112998073093
1213a8b597b4
1384c00c5cb
1448ba32408
152a008299a
hex197629a38

6834788920 has 128 divisors (see below), whose sum is σ = 16042276800. Its totient is φ = 2619187200.

The previous prime is 6834788911. The next prime is 6834788923. The reversal of 6834788920 is 298874386.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6834788923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28360000 + ... + 28360240.

Almost surely, 26834788920 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 6834788920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8021138400).

6834788920 is an abundant number, since it is smaller than the sum of its proper divisors (9207487880).

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

6834788920 is a wasteful number, since it uses less digits than its factorization.

6834788920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The square root of 6834788920 is about 82672.7822200269. The cubic root of 6834788920 is about 1897.7618076671.

The spelling of 6834788920 in words is "six billion, eight hundred thirty-four million, seven hundred eighty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 61 118 122 197 236 241 244 295 305 394 472 482 488 590 610 788 964 985 1180 1205 1220 1576 1928 1970 2360 2410 2440 3599 3940 4820 7198 7880 9640 11623 12017 14219 14396 14701 17995 23246 24034 28438 28792 29402 35990 46492 47477 48068 56876 58115 58804 60085 71095 71980 73505 92984 94954 96136 113752 116230 117608 120170 142190 143960 147010 189908 232460 237385 240340 284380 294020 379816 464920 474770 480680 568760 588040 709003 867359 949540 1418006 1734718 1899080 2801143 2836012 2896097 3469436 3545015 4336795 5602286 5672024 5792194 6938872 7090030 8673590 11204572 11584388 14005715 14180060 14480485 17347180 22409144 23168776 28011430 28360120 28960970 34694360 56022860 57921940 112045720 115843880 170869723 341739446 683478892 854348615 1366957784 1708697230 3417394460 6834788920