Search a number
-
+
271680242712 = 23347240851279
BaseRepresentation
bin1111110100000101100…
…1111000010000011000
3221222020212022022001120
43331001121320100120
513422400120231322
6324450322245240
725425326650314
oct3750131702030
9858225268046
10271680242712
11a524546150a
12447a11b6820
131c8088b6288
14d213d18b44
157101334a5c
hex3f41678418

271680242712 has 32 divisors (see below), whose sum is σ = 693651686400. Its totient is φ = 88633270304.

The previous prime is 271680242711. The next prime is 271680242737. The reversal of 271680242712 is 217242086172.

It is a super-2 number, since 2×2716802427122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271680242711) 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 7 ways as a sum of consecutive naturals, for example, 120424512 + ... + 120426767.

It is an arithmetic number, because the mean of its divisors is an integer number (21676615200).

Almost surely, 2271680242712 is an apocalyptic number.

It is an amenable number.

271680242712 is an abundant number, since it is smaller than the sum of its proper divisors (421971443688).

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

271680242712 is a wasteful number, since it uses less digits than its factorization.

271680242712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240851335 (or 240851331 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 271680242712 in words is "two hundred seventy-one billion, six hundred eighty million, two hundred forty-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 240851279 481702558 722553837 963405116 1445107674 1926810232 2890215348 5780430696 11320010113 22640020226 33960030339 45280040452 67920060678 90560080904 135840121356 271680242712