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10894349376 = 263243492
BaseRepresentation
bin10100010010101101…
…01001010001000000
31001010020122021211100
422021112221101000
5134302423140001
65001011414400
7533654304351
oct121126512100
931106567740
1010894349376
114690637a29
1221405b4400
131048085ba1
14754c4bd28
1543b670586
hex2895a9440

10894349376 has 63 divisors (see below), whose sum is σ = 31233867301. Its totient is φ = 3630614784.

The previous prime is 10894349369. The next prime is 10894349381. The reversal of 10894349376 is 67394349801.

It is a happy number.

The square root of 10894349376 is 104376.

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

10894349376 is a `hidden beast` number, since 1 + 0 + 89 + 4 + 3 + 493 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 244109376 + 10650240000 = 15624^2 + 103200^2 .

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, 2502850 + ... + 2507198.

Almost surely, 210894349376 is an apocalyptic number.

10894349376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10894349376 is the 104376-th square number.

It is an amenable number.

10894349376 is an abundant number, since it is smaller than the sum of its proper divisors (20339517925).

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

10894349376 is an frugal number, since it uses more digits than its factorization.

10894349376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8716 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 10894349376 in words is "ten billion, eight hundred ninety-four million, three hundred forty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 4349 8698 13047 17396 26094 34792 39141 52188 69584 78282 104376 139168 156564 208752 278336 313128 417504 626256 835008 1252512 2505024 18913801 37827602 56741403 75655204 113482806 151310408 170224209 226965612 302620816 340448418 453931224 605241632 680896836 907862448 1210483264 1361793672 1815724896 2723587344 3631449792 5447174688 10894349376