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80469236241 = 344327332
BaseRepresentation
bin100101011110001010…
…1110001101000010001
321200201001001202010000
41022330111301220101
52304300111024431
6100544515000213
75546050136202
oct1127425615021
9250631052100
1080469236241
1131143871229
1213718b99069
1377854083b4
143c752035a9
15215e7ab9e6
hex12bc571a11

80469236241 has 45 divisors (see below), whose sum is σ = 123235782219. Its totient is φ = 52327087344.

The previous prime is 80469236231. The next prime is 80469236269. The reversal of 80469236241 is 14263296408.

The square root of 80469236241 is 283671.

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., 78722330625 + 1746905616 = 280575^2 + 41796^2 .

It is not a de Polignac number, because 80469236241 - 221 = 80467139089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (80469236231) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 109780311 + ... + 109781043.

Almost surely, 280469236241 is an apocalyptic number.

80469236241 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

80469236241 is the 283671-st square number.

80469236241 is the 141836-th centered octagonal number.

It is an amenable number.

80469236241 is a deficient number, since it is larger than the sum of its proper divisors (42766545978).

80469236241 is an frugal number, since it uses more digits than its factorization.

80469236241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 80469236241 in words is "eighty billion, four hundred sixty-nine million, two hundred thirty-six thousand, two hundred forty-one".

Divisors: 1 3 9 27 43 81 129 387 733 1161 1849 2199 3483 5547 6597 16641 19791 31519 49923 59373 94557 149769 283671 537289 851013 1355317 1611867 2553039 4065951 4835601 12197853 14506803 23103427 36593559 43520409 69310281 109780677 207930843 623792529 993447361 1871377587 2980342083 8941026249 26823078747 80469236241