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10520405505 = 325232479403
BaseRepresentation
bin10011100110001000…
…01010011000000001
31000011011222222021100
421303010022120001
5133021210434010
64455532445013
7521463654111
oct116304123001
930134888240
1010520405505
114509549405
122057319769
13cb876841c
1471b30b041
154189072c0
hex27310a601

10520405505 has 72 divisors (see below), whose sum is σ = 19470342528. Its totient is φ = 5252182848.

The previous prime is 10520405503. The next prime is 10520405543. The reversal of 10520405505 is 50550402501.

10520405505 is a `hidden beast` number, since 105 + 2 + 0 + 4 + 0 + 550 + 5 = 666.

It is not a de Polignac number, because 10520405505 - 21 = 10520405503 is a prime.

It is a super-2 number, since 2×105204055052 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10520405503) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1114134 + ... + 1123536.

It is an arithmetic number, because the mean of its divisors is an integer number (270421424).

Almost surely, 210520405505 is an apocalyptic number.

10520405505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10520405505 is a deficient number, since it is larger than the sum of its proper divisors (8949937023).

10520405505 is a wasteful number, since it uses less digits than its factorization.

10520405505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9507 (or 9481 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

It can be divided in two parts, 10520 and 405505, that added together give a square (416025 = 6452).

The spelling of 10520405505 in words is "ten billion, five hundred twenty million, four hundred five thousand, five hundred five".

Divisors: 1 3 5 9 15 23 45 47 69 115 141 207 235 345 423 529 705 1035 1081 1587 2115 2645 3243 4761 5405 7935 9403 9729 16215 23805 24863 28209 47015 48645 74589 84627 124315 141045 216269 223767 372945 423135 441941 648807 1081345 1118835 1325823 1946421 2209705 3244035 3977469 4974187 6629115 9732105 10164643 14922561 19887345 24870935 30493929 44767683 50823215 74612805 91481787 152469645 223838415 233786789 457408935 701360367 1168933945 2104081101 3506801835 10520405505