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2139579648 = 2832928637
BaseRepresentation
bin111111110000111…
…0110010100000000
312112002222220111200
41333201312110000
513340213022043
6552150341200
7104010061353
oct17741662400
95462886450
102139579648
119a8811948
124b865a800
1328136827b
1416423029a
15c7c847d3
hex7f876500

2139579648 has 54 divisors (see below), whose sum is σ = 6168942234. Its totient is φ = 713192448.

The previous prime is 2139579643. The next prime is 2139579653. The reversal of 2139579648 is 8469759312.

2139579648 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 579 + 64 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2139579643) and next prime (2139579653).

It can be written as a sum of positive squares in only one way, i.e., 1808630784 + 330948864 = 42528^2 + 18192^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2139579594 and 2139579603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139579643) 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, 462015 + ... + 466622.

It is an arithmetic number, because the mean of its divisors is an integer number (114239671).

Almost surely, 22139579648 is an apocalyptic number.

It is an amenable number.

2139579648 is an abundant number, since it is smaller than the sum of its proper divisors (4029362586).

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

2139579648 is an equidigital number, since it uses as much as digits as its factorization.

2139579648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928659 (or 928642 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 2139579648 is about 46255.5904513173. The cubic root of 2139579648 is about 1288.5743615840.

The spelling of 2139579648 in words is "two billion, one hundred thirty-nine million, five hundred seventy-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 928637 1857274 2785911 3714548 5571822 7429096 8357733 11143644 14858192 16715466 22287288 29716384 33430932 44574576 59432768 66861864 89149152 118865536 133723728 178298304 237731072 267447456 356596608 534894912 713193216 1069789824 2139579648