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68130786468852 = 22327823241917659
BaseRepresentation
bin11110111110110111011110…
…10100110110001111110100
322221020020110122120220220100
433133123233110312033310
532412223322314000402
6400522503510234100
720231200254541302
oct1737335724661764
9287206418526810
1068130786468852
111a788116883128
127784252655930
132c02923270153
1412b7794ac7272
157d238892e71c
hex3df6ef5363f4

68130786468852 has 36 divisors (see below), whose sum is σ = 172241503237440. Its totient is φ = 22707359050512.

The previous prime is 68130786468709. The next prime is 68130786468911. The reversal of 68130786468852 is 25886468703186.

68130786468852 is a `hidden beast` number, since 6 + 8 + 1 + 3 + 0 + 7 + 86 + 468 + 85 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120677202 + ... + 121240457.

It is an arithmetic number, because the mean of its divisors is an integer number (4784486201040).

Almost surely, 268130786468852 is an apocalyptic number.

It is an amenable number.

68130786468852 is an abundant number, since it is smaller than the sum of its proper divisors (104110716768588).

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

68130786468852 is a wasteful number, since it uses less digits than its factorization.

68130786468852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241925492 (or 241925487 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 68130786468852 in words is "sixty-eight trillion, one hundred thirty billion, seven hundred eighty-six million, four hundred sixty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 7823 15646 23469 31292 46938 70407 93876 140814 281628 241917659 483835318 725752977 967670636 1451505954 2177258931 2903011908 4354517862 8709035724 1892521846357 3785043692714 5677565539071 7570087385428 11355131078142 17032696617213 22710262156284 34065393234426 68130786468852