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6768234760 = 235723453181
BaseRepresentation
bin1100100110110101…
…10001000100001000
3122110200121221122111
412103122301010020
5102330132003020
63035334432104
7326503021600
oct62332610410
918420557574
106768234760
112963545a51
12138a802634
1383b2a9351
14482c69c00
152992d7d5a
hex1936b1108

6768234760 has 48 divisors (see below), whose sum is σ = 17714823660. Its totient is φ = 2320536960.

The previous prime is 6768234727. The next prime is 6768234857. The reversal of 6768234760 is 674328676.

It can be written as a sum of positive squares in 2 ways, for example, as 6563916324 + 204318436 = 81018^2 + 14294^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1724631 + ... + 1728550.

Almost surely, 26768234760 is an apocalyptic number.

It is an amenable number.

6768234760 is an abundant number, since it is smaller than the sum of its proper divisors (10946588900).

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

6768234760 is a wasteful number, since it uses less digits than its factorization.

6768234760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453206 (or 3453195 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

The square root of 6768234760 is about 82269.2819951651. The cubic root of 6768234760 is about 1891.5818489876.

The spelling of 6768234760 in words is "six billion, seven hundred sixty-eight million, two hundred thirty-four thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 3453181 6906362 13812724 17265905 24172267 27625448 34531810 48344534 69063620 96689068 120861335 138127240 169205869 193378136 241722670 338411738 483445340 676823476 846029345 966890680 1353646952 1692058690 3384117380 6768234760