Search a number
-
+
10505242452 = 22343107190271
BaseRepresentation
bin10011100100010100…
…10100011101010100
31000010010110121110210
421302022110131110
5133003320224302
64454231445420
7521221042005
oct116212243524
930103417423
1010505242452
114500a32161
122052226870
13cb55897c3
147192c11ac
1541740e66c
hex272294754

10505242452 has 48 divisors (see below), whose sum is σ = 25316831232. Its totient is φ = 3388328160.

The previous prime is 10505242417. The next prime is 10505242457. The reversal of 10505242452 is 25424250501.

It is a super-2 number, since 2×105052424522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505242457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39924 + ... + 150347.

It is an arithmetic number, because the mean of its divisors is an integer number (527433984).

Almost surely, 210505242452 is an apocalyptic number.

10505242452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10505242452 is an abundant number, since it is smaller than the sum of its proper divisors (14811588780).

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

10505242452 is a wasteful number, since it uses less digits than its factorization.

10505242452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190428 (or 190426 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 10505242452 its reverse (25424250501), we get a palindrome (35929492953).

The spelling of 10505242452 in words is "ten billion, five hundred five million, two hundred forty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 43 86 107 129 172 214 258 321 428 516 642 1284 4601 9202 13803 18404 27606 55212 190271 380542 570813 761084 1141626 2283252 8181653 16363306 20358997 24544959 32726612 40717994 49089918 61076991 81435988 98179836 122153982 244307964 875436871 1750873742 2626310613 3501747484 5252621226 10505242452