Search a number
-
+
25135122153152 = 261173489086281
BaseRepresentation
bin1011011011100001110100…
…00001101111111011000000
310021222220010212202012212202
411231300322001233323000
511243303212232400102
6125242525443212332
75202644521105364
oct555607201577300
9107886125665782
1025135122153152
118010822203150
12299b4316770a8
1311043024aa37b
1462c79148b2a4
152d8c4ee50e02
hex16dc3a06fec0

25135122153152 has 56 divisors (see below), whose sum is σ = 55157194538832. Its totient is φ = 11268547891200.

The previous prime is 25135122153109. The next prime is 25135122153187.

25135122153152 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244491749 + ... + 244594532.

Almost surely, 225135122153152 is an apocalyptic number.

25135122153152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25135122153152 is an abundant number, since it is smaller than the sum of its proper divisors (30022072385680).

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

25135122153152 is a wasteful number, since it uses less digits than its factorization.

25135122153152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489086377 (or 489086367 counting only the distinct ones).

The product of its digits is 90000, while the sum is 38.

It can be divided in two parts, 2513512 and 2153152, that added together give a palindrome (4666664).

The spelling of 25135122153152 in words is "twenty-five trillion, one hundred thirty-five billion, one hundred twenty-two million, one hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 73 88 146 176 292 352 584 704 803 1168 1606 2336 3212 4672 6424 12848 25696 51392 489086281 978172562 1956345124 3912690248 5379949091 7825380496 10759898182 15650760992 21519796364 31301521984 35703298513 43039592728 71406597026 86079185456 142813194052 172158370912 285626388104 344316741824 392736283643 571252776208 785472567286 1142505552416 1570945134572 2285011104832 3141890269144 6283780538288 12567561076576 25135122153152