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511341234066 = 2321310750940123
BaseRepresentation
bin1110111000011100101…
…00000000011110010010
31210212212020202002121200
413130032110000132102
531334211323442231
61030523521132030
751641340526605
oct7341624003622
91725766662550
10511341234066
11187949883513
128312718a016
13392b097c670
141aa6b55c33c
15d47b628be6
hex770e500792

511341234066 has 96 divisors (see below), whose sum is σ = 1206676336320. Its totient is φ = 155555240832.

The previous prime is 511341234059. The next prime is 511341234167. The reversal of 511341234066 is 660432143115.

511341234066 is a `hidden beast` number, since 511 + 3 + 41 + 2 + 3 + 40 + 66 = 666.

It is a super-2 number, since 2×5113412340662 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 511341234066.

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 47 ways as a sum of consecutive naturals, for example, 12724281 + ... + 12764403.

It is an arithmetic number, because the mean of its divisors is an integer number (12569545170).

Almost surely, 2511341234066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511341234066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603338168160).

511341234066 is an abundant number, since it is smaller than the sum of its proper divisors (695335102254).

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

511341234066 is a wasteful number, since it uses less digits than its factorization.

511341234066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40760 (or 40757 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 511341234066 in words is "five hundred eleven billion, three hundred forty-one million, two hundred thirty-four thousand, sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 107 117 214 234 321 509 642 963 1018 1391 1527 1926 2782 3054 4173 4581 6617 8346 9162 12519 13234 19851 25038 39702 40123 54463 59553 80246 108926 119106 120369 163389 240738 326778 361107 490167 521599 708019 722214 980334 1043198 1416038 1564797 2124057 3129594 4248114 4293161 4694391 6372171 8586322 9388782 12744342 12879483 20422607 25758966 38638449 40845214 55811093 61267821 77276898 111622186 122535642 167433279 183803463 265493891 334866558 367606926 502299837 530987782 796481673 1004599674 1592963346 2185218949 2389445019 4370437898 4778890038 6555656847 13111313694 19666970541 28407846337 39333941082 56815692674 85223539011 170447078022 255670617033 511341234066