Search a number
-
+
10253631165505 = 5713167197684989
BaseRepresentation
bin1001010100110101110000…
…0010110001010001000001
31100022020102012000102120221
42111031130002301101001
52320443414034244010
633450241513103041
72105541352600360
oct225153402612101
940266365012527
1010253631165505
1132a35a45326a2
1211972803b7a81
13594bb45b9b50
142763c7cc37d7
1512bac1927dda
hex9535c0b1441

10253631165505 has 64 divisors (see below), whose sum is σ = 15311860945920. Its totient is φ = 6418589635584.

The previous prime is 10253631165419. The next prime is 10253631165511. The reversal of 10253631165505 is 50556113635201.

It is not a de Polignac number, because 10253631165505 - 213 = 10253631157313 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14626551 + ... + 15311539.

It is an arithmetic number, because the mean of its divisors is an integer number (239247827280).

Almost surely, 210253631165505 is an apocalyptic number.

It is an amenable number.

10253631165505 is a deficient number, since it is larger than the sum of its proper divisors (5058229780415).

10253631165505 is a wasteful number, since it uses less digits than its factorization.

10253631165505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685378.

The product of its (nonzero) digits is 405000, while the sum is 43.

The spelling of 10253631165505 in words is "ten trillion, two hundred fifty-three billion, six hundred thirty-one million, one hundred sixty-five thousand, five hundred five".

Divisors: 1 5 7 13 35 65 91 167 197 455 835 985 1169 1379 2171 2561 5845 6895 10855 12805 15197 17927 32899 75985 89635 164495 230293 427687 684989 1151465 2138435 2993809 3424945 4794923 8904857 14969045 23974615 44524285 62333999 114393163 134942833 311669995 571965815 674714165 800752141 944599831 1487111119 1754256829 4003760705 4722999155 7435555595 8771284145 10409777833 12279797803 22535453111 52048889165 61398989015 112677265555 157748171777 292960890443 788740858885 1464804452215 2050726233101 10253631165505