Search a number
-
+
10023450533505 = 3251761214795897
BaseRepresentation
bin1001000111011100010000…
…1101010101111010000001
31022111020021111112210012100
42101313010031111322001
52303211011314033010
633152413135221013
72053112306524533
oct221670415257201
938436244483170
1010023450533505
113214a15573a22
12115a741377769
13579290670156
142691cd7b7853
15125aeda992c0
hex91dc4355e81

10023450533505 has 48 divisors (see below), whose sum is σ = 18697553329104. Its totient is φ = 4948897443840.

The previous prime is 10023450533479. The next prime is 10023450533519. The reversal of 10023450533505 is 50533505432001.

10023450533505 is a `hidden beast` number, since 1 + 0 + 0 + 23 + 4 + 50 + 533 + 50 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1830706417296 + 8192744116209 = 1353036^2 + 2862297^2 .

It is not a de Polignac number, because 10023450533505 - 26 = 10023450533441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10023450533505.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107351284 + ... + 107444613.

It is an arithmetic number, because the mean of its divisors is an integer number (389532361023).

Almost surely, 210023450533505 is an apocalyptic number.

10023450533505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10023450533505 is a deficient number, since it is larger than the sum of its proper divisors (8674102795599).

10023450533505 is a wasteful number, since it uses less digits than its factorization.

10023450533505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214795986 (or 214795983 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

Adding to 10023450533505 its reverse (50533505432001), we get a palindrome (60556955965506).

The spelling of 10023450533505 in words is "ten trillion, twenty-three billion, four hundred fifty million, five hundred thirty-three thousand, five hundred five".

Divisors: 1 3 5 9 15 17 45 51 61 85 153 183 255 305 549 765 915 1037 2745 3111 5185 9333 15555 46665 214795897 644387691 1073979485 1933163073 3221938455 3651530249 9665815365 10954590747 13102549717 18257651245 32863772241 39307649151 54772953735 65512748585 117922947453 164318861205 196538245755 222743345189 589614737265 668230035567 1113716725945 2004690106701 3341150177835 10023450533505