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6077949064 = 2311219217393
BaseRepresentation
bin1011010100100011…
…00010010010001000
3120200120201210200121
411222101202102020
544421423332224
62443035313024
7303421500055
oct55221422210
916616653617
106077949064
112639931100
1212175ab774
1375b28b785
1441930002c
152588d3be4
hex16a462488

6077949064 has 72 divisors (see below), whose sum is σ = 13221092430. Its totient is φ = 2617148160.

The previous prime is 6077949047. The next prime is 6077949067. The reversal of 6077949064 is 4609497706.

It can be written as a sum of positive squares in only one way, i.e., 5724132964 + 353816100 = 75658^2 + 18810^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6077949067) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 340752 + ... + 358144.

Almost surely, 26077949064 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 6077949064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6610546215).

6077949064 is an abundant number, since it is smaller than the sum of its proper divisors (7143143366).

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

6077949064 is a wasteful number, since it uses less digits than its factorization.

6077949064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17459 (or 17425 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The square root of 6077949064 is about 77961.2022996054. The cubic root of 6077949064 is about 1824.9558069239.

The spelling of 6077949064 in words is "six billion, seventy-seven million, nine hundred forty-nine thousand, sixty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 152 209 242 361 418 484 722 836 968 1444 1672 2299 2888 3971 4598 7942 9196 15884 17393 18392 31768 34786 43681 69572 87362 139144 174724 191323 330467 349448 382646 660934 765292 1321868 1530584 2104553 2643736 3635137 4209106 6278873 7270274 8418212 12557746 14540548 16836424 25115492 29081096 39986507 50230984 69067603 79973014 138135206 159946028 276270412 319892056 552540824 759743633 1519487266 3038974532 6077949064