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511166010020 = 22565339139817
BaseRepresentation
bin1110111000000111101…
…11100101001010100100
31210212102001000210102012
413130003313211022210
531333331444310040
61030454301333352
751634112252411
oct7340367451244
91725361023365
10511166010020
11187869983056
1283098567258
133928358b5b3
141aa52189108
15d46b065865
hex7703de52a4

511166010020 has 24 divisors (see below), whose sum is σ = 1075092520824. Its totient is φ = 204153280256.

The previous prime is 511166009993. The next prime is 511166010029. The reversal of 511166010020 is 20010661115.

It can be written as a sum of positive squares in 4 ways, for example, as 2032386724 + 509133623296 = 45082^2 + 713536^2 .

It is a super-2 number, since 2×5111660100202 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (511166010029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19556849 + ... + 19582968.

It is an arithmetic number, because the mean of its divisors is an integer number (44795521701).

Almost surely, 2511166010020 is an apocalyptic number.

It is an amenable number.

511166010020 is an abundant number, since it is smaller than the sum of its proper divisors (563926510804).

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

511166010020 is a wasteful number, since it uses less digits than its factorization.

511166010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39140479 (or 39140477 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

Adding to 511166010020 its reverse (20010661115), we get a palindrome (531176671135).

The spelling of 511166010020 in words is "five hundred eleven billion, one hundred sixty-six million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 653 1306 2612 3265 6530 13060 39139817 78279634 156559268 195699085 391398170 782796340 25558300501 51116601002 102233202004 127791502505 255583005010 511166010020