Search a number
-
+
10042462635 = 3519296119919
BaseRepresentation
bin10010101101001001…
…11101000110101011
3221220212122221220120
421112210331012223
5131031332301020
64340300454323
7503601344502
oct112644750653
927825587816
1010042462635
1142937878a7
121b4324a3a3
13c40736baa
146b3a57839
153db999740
hex25693d1ab

10042462635 has 64 divisors (see below), whose sum is σ = 17784576000. Its totient is φ = 4818562560.

The previous prime is 10042462603. The next prime is 10042462657. The reversal of 10042462635 is 53626424001.

It is not a de Polignac number, because 10042462635 - 25 = 10042462603 is a prime.

It is a super-2 number, since 2×100424626352 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10042462596 and 10042462605.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 494206 + ... + 514124.

It is an arithmetic number, because the mean of its divisors is an integer number (277884000).

Almost surely, 210042462635 is an apocalyptic number.

10042462635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10042462635 is a deficient number, since it is larger than the sum of its proper divisors (7742113365).

10042462635 is a wasteful number, since it uses less digits than its factorization.

10042462635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20036.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 10042462635 its reverse (53626424001), we get a palindrome (63668886636).

The spelling of 10042462635 in words is "ten billion, forty-two million, four hundred sixty-two thousand, six hundred thirty-five".

Divisors: 1 3 5 15 19 29 57 61 87 95 145 183 285 305 435 551 915 1159 1653 1769 2755 3477 5307 5795 8265 8845 17385 19919 26535 33611 59757 99595 100833 168055 298785 378461 504165 577651 1135383 1215059 1732953 1892305 2888255 3645177 5676915 6075295 8664765 10975369 18225885 23086121 32926107 35236711 54876845 69258363 105710133 115430605 164630535 176183555 346291815 528550665 669497509 2008492527 3347487545 10042462635