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76662036768 = 2533167384479
BaseRepresentation
bin100011101100101101…
…0011101100100100000
321022212201010222021010
41013121122131210200
52224000440134033
655115033300520
75352520363242
oct1073132354440
9238781128233
1076662036768
112a56a7a2989
1212a35b64740
1372c9720045
1439d371a092
151eda41c863
hex11d969d920

76662036768 has 96 divisors (see below), whose sum is σ = 210830376960. Its totient is φ = 24360526080.

The previous prime is 76662036733. The next prime is 76662036769. The reversal of 76662036768 is 86763026667.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (76662036769) by changing a digit.

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, 7153 + ... + 391631.

It is an arithmetic number, because the mean of its divisors is an integer number (2196149760).

Almost surely, 276662036768 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 76662036768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105415188480).

76662036768 is an abundant number, since it is smaller than the sum of its proper divisors (134168340192).

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

76662036768 is a wasteful number, since it uses less digits than its factorization.

76662036768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384590 (or 384582 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 57.

The spelling of 76662036768 in words is "seventy-six billion, six hundred sixty-two million, thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 67 93 96 124 134 186 201 248 268 372 402 496 536 744 804 992 1072 1488 1608 2077 2144 2976 3216 4154 6231 6432 8308 12462 16616 24924 33232 49848 66464 99696 199392 384479 768958 1153437 1537916 2306874 3075832 4613748 6151664 9227496 11918849 12303328 18454992 23837698 25760093 35756547 36909984 47675396 51520186 71513094 77280279 95350792 103040372 143026188 154560558 190701584 206080744 286052376 309121116 381403168 412161488 572104752 618242232 798562883 824322976 1144209504 1236484464 1597125766 2395688649 2472968928 3194251532 4791377298 6388503064 9582754596 12777006128 19165509192 25554012256 38331018384 76662036768