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27812000712 = 23347237110399
BaseRepresentation
bin11001111001101110…
…010111001111001000
32122210021012000121110
4121321232113033020
5423424333010322
620435431410320
72003131051116
oct317156271710
978707160543
1027812000712
1110882170861
1254822239a0
132812ca5b72
1414bba12ab6
15acb9ccc0c
hex679b973c8

27812000712 has 64 divisors (see below), whose sum is σ = 71046144000. Its totient is φ = 9068719680.

The previous prime is 27812000647. The next prime is 27812000753. The reversal of 27812000712 is 21700021872.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 27812000712.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2669289 + ... + 2679687.

It is an arithmetic number, because the mean of its divisors is an integer number (1110096000).

Almost surely, 227812000712 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 27812000712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35523072000).

27812000712 is an abundant number, since it is smaller than the sum of its proper divisors (43234143288).

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

27812000712 is a wasteful number, since it uses less digits than its factorization.

27812000712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12826 (or 12822 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The spelling of 27812000712 in words is "twenty-seven billion, eight hundred twelve million, seven hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 2371 4742 7113 9484 10399 14226 18968 20798 28452 31197 41596 56904 62394 83192 111437 124788 222874 249576 334311 445748 488753 668622 891496 977506 1337244 1466259 1955012 2674488 2932518 3910024 5865036 11730072 24656029 49312058 73968087 98624116 147936174 197248232 295872348 591744696 1158833363 2317666726 3476500089 4635333452 6953000178 9270666904 13906000356 27812000712