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52544520105 = 35721137175649
BaseRepresentation
bin110000111011111001…
…011011111110101001
312000121220210012000020
4300323321123332221
51330102344120410
640045535231053
73540050023500
oct607371337651
9160556705006
1052544520105
1120314014730
12a225078489
134c54c8921c
14278664d837
151577e66a70
hexc3be5bfa9

52544520105 has 96 divisors (see below), whose sum is σ = 109571875200. Its totient is φ = 21246382080.

The previous prime is 52544520103. The next prime is 52544520107. The reversal of 52544520105 is 50102544525.

It is an interprime number because it is at equal distance from previous prime (52544520103) and next prime (52544520107).

It is not a de Polignac number, because 52544520105 - 21 = 52544520103 is a prime.

It is a super-2 number, since 2×525445201052 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (52544520103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211321 + ... + 386969.

It is an arithmetic number, because the mean of its divisors is an integer number (1141373700).

Almost surely, 252544520105 is an apocalyptic number.

52544520105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52544520105 is an abundant number, since it is smaller than the sum of its proper divisors (57027355095).

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

52544520105 is a wasteful number, since it uses less digits than its factorization.

52544520105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175719 (or 175712 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 33.

The spelling of 52544520105 in words is "fifty-two billion, five hundred forty-four million, five hundred twenty thousand, one hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 37 49 55 77 105 111 147 165 185 231 245 259 385 407 539 555 735 777 1155 1221 1295 1617 1813 2035 2695 2849 3885 5439 6105 8085 8547 9065 14245 19943 27195 42735 59829 99715 175649 299145 526947 878245 1229543 1932139 2634735 3688629 5796417 6147715 6499013 8606801 9660695 13524973 18443145 19497039 25820403 28982085 32495065 40574919 43034005 45493091 67624865 71489143 94674811 97485195 129102015 136479273 202874595 214467429 227465455 284024433 318451637 357445715 473374055 500424001 682396365 955354911 1072337145 1420122165 1501272003 1592258185 2502120005 3502968007 4776774555 7506360015 10508904021 17514840035 52544520105