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2689874496 = 263221612
BaseRepresentation
bin1010000001010100…
…0011101001000000
320221110110210010100
42200111003221000
521002101440441
61122525202400
7123441361461
oct24025035100
96843423110
102689874496
111160400581
12630a00400
1333b37ca1a
141b7358d68
1510b234cb6
hexa0543a40

2689874496 has 63 divisors (see below), whose sum is σ = 7713609033. Its totient is φ = 896209920.

The previous prime is 2689874491. The next prime is 2689874519. The reversal of 2689874496 is 6944789862.

The square root of 2689874496 is 51864.

It is a perfect power (a square), and thus also a powerful number.

2689874496 is a `hidden beast` number, since 2 + 68 + 9 + 87 + 4 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1686252096 + 1003622400 = 41064^2 + 31680^2 .

It is not an unprimeable number, because it can be changed into a prime (2689874491) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1243656 + ... + 1245816.

Almost surely, 22689874496 is an apocalyptic number.

2689874496 is the 51864-th square number.

It is an amenable number.

2689874496 is an abundant number, since it is smaller than the sum of its proper divisors (5023734537).

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

2689874496 is an frugal number, since it uses more digits than its factorization.

2689874496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4340 (or 2166 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The cubic root of 2689874496 is about 1390.7337871220.

The spelling of 2689874496 in words is "two billion, six hundred eighty-nine million, eight hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2161 4322 6483 8644 12966 17288 19449 25932 34576 38898 51864 69152 77796 103728 138304 155592 207456 311184 414912 622368 1244736 4669921 9339842 14009763 18679684 28019526 37359368 42029289 56039052 74718736 84058578 112078104 149437472 168117156 224156208 298874944 336234312 448312416 672468624 896624832 1344937248 2689874496