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2074064464 = 241719339509
BaseRepresentation
bin111101110011111…
…1011011001010000
312100112201101120101
41323213323121100
513221430030324
6541450222144
7102253154113
oct17347733120
95315641511
102074064464
1197483436a
1249a724954
13270909ba4
1415965857a
15c2142944
hex7b9fb650

2074064464 has 40 divisors (see below), whose sum is σ = 4277036520. Its totient is φ = 970948608.

The previous prime is 2074064459. The next prime is 2074064467. The reversal of 2074064464 is 4644604702.

It can be written as a sum of positive squares in 4 ways, for example, as 129960000 + 1944104464 = 11400^2 + 44092^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2074064467) 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 7 ways as a sum of consecutive naturals, for example, 32742 + ... + 72250.

It is an arithmetic number, because the mean of its divisors is an integer number (106925913).

Almost surely, 22074064464 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 2074064464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138518260).

2074064464 is an abundant number, since it is smaller than the sum of its proper divisors (2202972056).

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

2074064464 is a wasteful number, since it uses less digits than its factorization.

2074064464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39727 (or 39721 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 37.

The square root of 2074064464 is about 45541.8978963328. The cubic root of 2074064464 is about 1275.2854855274.

The spelling of 2074064464 in words is "two billion, seventy-four million, sixty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 193 272 386 772 1544 3088 3281 6562 13124 26248 39509 52496 79018 158036 316072 632144 671653 1343306 2686612 5373224 7625237 10746448 15250474 30500948 61001896 122003792 129629029 259258058 518516116 1037032232 2074064464