Search a number
-
+
12252032652153 = 372292874040031
BaseRepresentation
bin1011001001001010011000…
…0011011101001101111001
31121101021122012222101110210
42302102212003131031321
53101214130324332103
642020301152301333
72403115535136600
oct262224603351571
947337565871423
1012252032652153
1139a4070027768
12145a638b41849
136ab491919018
14305004348a37
15163a843ebe03
hexb24a60dd379

12252032652153 has 24 divisors (see below), whose sum is σ = 19658433818880. Its totient is φ = 6759742150560.

The previous prime is 12252032652107. The next prime is 12252032652163. The reversal of 12252032652153 is 35125623025221.

12252032652153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12252032652153 - 216 = 12252032586617 is a prime.

It is a super-2 number, since 2×122520326521532 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12252032652103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1437015753 + ... + 1437024278.

It is an arithmetic number, because the mean of its divisors is an integer number (819101409120).

Almost surely, 212252032652153 is an apocalyptic number.

It is an amenable number.

12252032652153 is a deficient number, since it is larger than the sum of its proper divisors (7406401166727).

12252032652153 is a wasteful number, since it uses less digits than its factorization.

12252032652153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874040077 (or 2874040070 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

Adding to 12252032652153 its reverse (35125623025221), we get a palindrome (47377655677374).

The spelling of 12252032652153 in words is "twelve trillion, two hundred fifty-two billion, thirty-two million, six hundred fifty-two thousand, one hundred fifty-three".

Divisors: 1 3 7 21 29 49 87 147 203 609 1421 4263 2874040031 8622120093 20118280217 60354840651 83347160899 140827961519 250041482697 422483884557 583430126293 1750290378879 4084010884051 12252032652153