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10776931344 = 24324122112
BaseRepresentation
bin10100000100101101…
…01110110000010000
31000211001200211120100
422002112232300100
5134032343300334
64541215012400
7531030255624
oct120226566020
930731624510
1010776931344
11463032a033
12210920a100
13102995426a
14743405184
154311c9c99
hex2825aec10

10776931344 has 135 divisors (see below), whose sum is σ = 31061208477. Its totient is φ = 3488083200.

The previous prime is 10776931339. The next prime is 10776931409. The reversal of 10776931344 is 44313967701.

The square root of 10776931344 is 103812.

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

It can be written as a sum of positive squares in only one way, i.e., 519292944 + 10257638400 = 22788^2 + 101280^2 .

It is a super-2 number, since 2×107769313442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10776931344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51075399 + ... + 51075609.

Almost surely, 210776931344 is an apocalyptic number.

10776931344 is the 103812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10776931344

10776931344 is an abundant number, since it is smaller than the sum of its proper divisors (20284277133).

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

10776931344 is an equidigital number, since it uses as much as digits as its factorization.

10776931344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 10776931344 in words is "ten billion, seven hundred seventy-six million, nine hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 211 246 328 369 422 492 633 656 738 844 984 1266 1476 1681 1688 1899 1968 2532 2952 3362 3376 3798 5043 5064 5904 6724 7596 8651 10086 10128 13448 15129 15192 17302 20172 25953 26896 30258 30384 34604 40344 44521 51906 60516 69208 77859 80688 89042 103812 121032 133563 138416 155718 178084 207624 242064 267126 311436 354691 356168 400689 415248 534252 622872 709382 712336 801378 1064073 1068504 1245744 1418764 1602756 1825361 2128146 2137008 2837528 3192219 3205512 3650722 4256292 5476083 5675056 6384438 6411024 7301444 8512584 10952166 12768876 14602888 16428249 17025168 21904332 25537752 29205776 32856498 43808664 51075504 65712996 74839801 87617328 131425992 149679602 224519403 262851984 299359204 449038806 598718408 673558209 898077612 1197436816 1347116418 1796155224 2694232836 3592310448 5388465672 10776931344