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276678104004 = 223229230232
BaseRepresentation
bin1000000011010110100…
…11001101001111000100
3222110011011122221212100
410001223103031033010
514013114043312004
6331034255552100
725663225036431
oct4015323151704
9873134587770
10276678104004
11a737a638695
1245756b2b630
1320124176553
14d5699c0b88
1572e4eb7739
hex406b4cd3c4

276678104004 has 81 divisors (see below), whose sum is σ = 724568632333. Its totient is φ = 89016370464.

The previous prime is 276678103997. The next prime is 276678104029. The reversal of 276678104004 is 400401876672.

The square root of 276678104004 is 526002.

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., 145083286404 + 131594817600 = 380898^2 + 362760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 91522837 + ... + 91525859.

Almost surely, 2276678104004 is an apocalyptic number.

276678104004 is the 526002-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276678104004

276678104004 is an abundant number, since it is smaller than the sum of its proper divisors (447890528329).

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

276678104004 is an equidigital number, since it uses as much as digits as its factorization.

276678104004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6114 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 276678104004 in words is "two hundred seventy-six billion, six hundred seventy-eight million, one hundred four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 2523 3023 3364 5046 6046 7569 9069 10092 12092 15138 18138 27207 30276 36276 54414 87667 108828 175334 263001 350668 526002 789003 1052004 1578006 2542343 3156012 5084686 7627029 9138529 10169372 15254058 18277058 22881087 27415587 30508116 36554116 45762174 54831174 82246761 91524348 109662348 164493522 265017341 328987044 530034682 795052023 1060069364 1590104046 2385156069 3180208092 4770312138 7685502889 9540624276 15371005778 23056508667 30742011556 46113017334 69169526001 92226034668 138339052002 276678104004