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2064576672 = 25327168669
BaseRepresentation
bin111101100001110…
…1111000010100000
312022212212100202200
41323003233002200
513212012423142
6540511013200
7102106416654
oct17303570240
95285770680
102064576672
1196a444014
1249750a200
1326b967502
141582a8a64
15c13bb64c
hex7b0ef0a0

2064576672 has 36 divisors (see below), whose sum is σ = 5871140730. Its totient is φ = 688192128.

The previous prime is 2064576667. The next prime is 2064576677. The reversal of 2064576672 is 2766754602.

2064576672 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 576 + 6 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (2064576667) and next prime (2064576677).

It can be written as a sum of positive squares in only one way, i.e., 1546376976 + 518199696 = 39324^2 + 22764^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2064576677) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3584047 + ... + 3584622.

Almost surely, 22064576672 is an apocalyptic number.

It is an amenable number.

2064576672 is an abundant number, since it is smaller than the sum of its proper divisors (3806564058).

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

2064576672 is a wasteful number, since it uses less digits than its factorization.

2064576672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7168685 (or 7168674 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 2064576672 is about 45437.6129654717. The cubic root of 2064576672 is about 1273.3379182301.

The spelling of 2064576672 in words is "two billion, sixty-four million, five hundred seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7168669 14337338 21506007 28674676 43012014 57349352 64518021 86024028 114698704 129036042 172048056 229397408 258072084 344096112 516144168 688192224 1032288336 2064576672