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26678648896 = 2617212012
BaseRepresentation
bin11000110110001010…
…111110000001000000
32112212021120210012021
4120312022332001000
5414114213231041
620131144011224
71633056526324
oct306612760100
975767523167
1026678648896
1110350446869
125206760b14
1326922486a3
1414112b1984
15a62259cd1
hex6362be040

26678648896 has 63 divisors (see below), whose sum is σ = 56284637367. Its totient is φ = 12544204800.

The previous prime is 26678648881. The next prime is 26678648903. The reversal of 26678648896 is 69884687662.

The square root of 26678648896 is 163336.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5029646400 + 21649002496 = 70920^2 + 147136^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22213096 + ... + 22214296.

Almost surely, 226678648896 is an apocalyptic number.

26678648896 is the 163336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26678648896

26678648896 is an abundant number, since it is smaller than the sum of its proper divisors (29605988471).

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

26678648896 is an frugal number, since it uses more digits than its factorization.

26678648896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 1220 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 70.

The spelling of 26678648896 in words is "twenty-six billion, six hundred seventy-eight million, six hundred forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 1201 2312 2402 4624 4804 9248 9608 18496 19216 20417 38432 40834 76864 81668 163336 326672 347089 653344 694178 1306688 1388356 1442401 2776712 2884802 5553424 5769604 11106848 11539208 22213696 23078416 24520817 46156832 49041634 92313664 98083268 196166536 392333072 416853889 784666144 833707778 1569332288 1667415556 3334831112 6669662224 13339324448 26678648896