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2671369064 = 23731374887
BaseRepresentation
bin1001111100111001…
…1101101101101000
320220011122121102222
42133032131231220
520432332302224
61121024413212
7123125156000
oct23716355550
96804577388
102671369064
111150a11131
12626777208
133375a0970
141b4add000
151097cbb5e
hex9f39db68

2671369064 has 64 divisors (see below), whose sum is σ = 6290592000. Its totient is φ = 1056791232.

The previous prime is 2671369061. The next prime is 2671369073. The reversal of 2671369064 is 4609631762.

It is a super-3 number, since 3×26713690643 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2671369061) 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 15 ways as a sum of consecutive naturals, for example, 1772 + ... + 73115.

It is an arithmetic number, because the mean of its divisors is an integer number (98290500).

Almost surely, 22671369064 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 2671369064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145296000).

2671369064 is an abundant number, since it is smaller than the sum of its proper divisors (3619222936).

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

2671369064 is a wasteful number, since it uses less digits than its factorization.

2671369064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74927 (or 74909 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 44.

The square root of 2671369064 is about 51685.2886612816. The cubic root of 2671369064 is about 1387.5371850976.

The spelling of 2671369064 in words is "two billion, six hundred seventy-one million, three hundred sixty-nine thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 343 364 392 637 686 728 1274 1372 2548 2744 4459 5096 8918 17836 35672 74887 149774 299548 524209 599096 973531 1048418 1947062 2096836 3669463 3894124 4193672 6814717 7338926 7788248 13629434 14677852 25686241 27258868 29355704 47703019 51372482 54517736 95406038 102744964 190812076 205489928 333921133 381624152 667842266 1335684532 2671369064