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8012756196 = 223449732
BaseRepresentation
bin1110111011001100…
…01111010011100100
3202200102102012010000
413131212033103210
5112402231144241
63403033101300
7402364206144
oct73546172344
922612365100
108012756196
113441aa0365
121677557830
139a908b373
14560268924
1531d6b9eb6
hex1dd98f4e4

8012756196 has 45 divisors (see below), whose sum is σ = 20951140441. Its totient is φ = 2670381648.

The previous prime is 8012756177. The next prime is 8012756197. The reversal of 8012756196 is 6916572108.

The square root of 8012756196 is 89514.

It is a perfect power (a square), and thus also a powerful number.

8012756196 is a `hidden beast` number, since 8 + 0 + 1 + 27 + 5 + 619 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5196968100 + 2815788096 = 72090^2 + 53064^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8012756197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1608766 + ... + 1613738.

Almost surely, 28012756196 is an apocalyptic number.

8012756196 is the 89514-th square number.

It is an amenable number.

8012756196 is an abundant number, since it is smaller than the sum of its proper divisors (12938384245).

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

8012756196 is an frugal number, since it uses more digits than its factorization.

8012756196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9962 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The cubic root of 8012756196 is about 2001.0624518314.

The spelling of 8012756196 in words is "eight billion, twelve million, seven hundred fifty-six thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 4973 9946 14919 19892 29838 44757 59676 89514 134271 179028 268542 402813 537084 805626 1611252 24730729 49461458 74192187 98922916 148384374 222576561 296768748 445153122 667729683 890306244 1335459366 2003189049 2670918732 4006378098 8012756196