Search a number
-
+
10245640624146 = 2323785361180221
BaseRepresentation
bin1001010100010111111111…
…0001010001100000010010
31100021110210022101212111200
42111011333301101200102
52320331032444433041
633442440552052030
72105136345243414
oct225057761214022
940243708355450
1010245640624146
1132a0174035704
121195810394016
13594210009075
14275c6a99c9b4
1512b7a519a1b6
hex9517fc51812

10245640624146 has 48 divisors (see below), whose sum is σ = 22799251559448. Its totient is φ = 3322853107200.

The previous prime is 10245640624139. The next prime is 10245640624187. The reversal of 10245640624146 is 64142604654201.

10245640624146 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 5 + 6 + 4 + 0 + 624 + 14 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10196775311121 + 48865313025 = 3193239^2 + 221055^2 .

It is a super-3 number, since 3×102456406241463 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56760316 + ... + 56940536.

Almost surely, 210245640624146 is an apocalyptic number.

10245640624146 is an abundant number, since it is smaller than the sum of its proper divisors (12553610935302).

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

10245640624146 is a wasteful number, since it uses less digits than its factorization.

10245640624146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265627 (or 265624 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 10245640624146 in words is "ten trillion, two hundred forty-five billion, six hundred forty million, six hundred twenty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 85361 170722 180221 256083 360442 512166 540663 768249 1081326 1536498 1621989 3158357 3243978 6316714 6668177 9475071 13336354 18950142 20004531 28425213 40009062 56850426 60013593 120027186 15383844781 30767689562 46151534343 92303068686 138454603029 276909206058 569202256897 1138404513794 1707606770691 3415213541382 5122820312073 10245640624146