Search a number
-
+
10742110032 = 243569393311
BaseRepresentation
bin10100000000100011…
…11001011101010000
31000201122011201201010
422000101321131100
5133444440010112
64533532410520
7530125300023
oct120021713520
930648151633
1010742110032
114612706295
1220b9616a40
131022681934
1473c93d1ba
1542d0ec63c
hex280479750

10742110032 has 40 divisors (see below), whose sum is σ = 27799292160. Its totient is φ = 3574401280.

The previous prime is 10742110019. The next prime is 10742110037. The reversal of 10742110032 is 23001124701.

It is a junction number, because it is equal to n+sod(n) for n = 10742109990 and 10742110008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10742110037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169344 + ... + 223967.

It is an arithmetic number, because the mean of its divisors is an integer number (694982304).

Almost surely, 210742110032 is an apocalyptic number.

10742110032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10742110032 is an abundant number, since it is smaller than the sum of its proper divisors (17057182128).

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

10742110032 is a wasteful number, since it uses less digits than its factorization.

10742110032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393891 (or 393885 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 10742110032 its reverse (23001124701), we get a palindrome (33743234733).

The spelling of 10742110032 in words is "ten billion, seven hundred forty-two million, one hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 569 1138 1707 2276 3414 4552 6828 9104 13656 27312 393311 786622 1179933 1573244 2359866 3146488 4719732 6292976 9439464 18878928 223793959 447587918 671381877 895175836 1342763754 1790351672 2685527508 3580703344 5371055016 10742110032