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2064704832 = 263222715791
BaseRepresentation
bin111101100010000…
…1110010101000000
312022220002212120100
41323010032111000
513212031023312
6540513442400
7102110462421
oct17304162500
95286085510
102064704832
1196a521333
12497570400
1326b9b0948
141582dd648
15c13e45dc
hex7b10e540

2064704832 has 84 divisors (see below), whose sum is σ = 5944550976. Its totient is φ = 685159680.

The previous prime is 2064704797. The next prime is 2064704833. The reversal of 2064704832 is 2384074602.

2064704832 is a `hidden beast` number, since 2 + 0 + 647 + 0 + 4 + 8 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064704833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122857 + ... + 138647.

It is an arithmetic number, because the mean of its divisors is an integer number (70768464).

Almost surely, 22064704832 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 2064704832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972275488).

2064704832 is an abundant number, since it is smaller than the sum of its proper divisors (3879846144).

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

2064704832 is a wasteful number, since it uses less digits than its factorization.

2064704832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16036 (or 16023 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2064704832 is about 45439.0232289384. The cubic root of 2064704832 is about 1273.3642654572.

The spelling of 2064704832 in words is "two billion, sixty-four million, seven hundred four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 227 288 454 576 681 908 1362 1816 2043 2724 3632 4086 5448 7264 8172 10896 14528 15791 16344 21792 31582 32688 43584 47373 63164 65376 94746 126328 130752 142119 189492 252656 284238 378984 505312 568476 757968 1010624 1136952 1515936 2273904 3031872 3584557 4547808 7169114 9095616 10753671 14338228 21507342 28676456 32261013 43014684 57352912 64522026 86029368 114705824 129044052 172058736 229411648 258088104 344117472 516176208 688234944 1032352416 2064704832